Senin, 04 Desember 2017

Centroid, and center of Gravity questions for practice : 2017 Part 2

Tutorial sheet for the practice of unit 3 Centroid, and centre of Gravity and Equilibrium of forces

The solution for the tutorial sheet of Centroid, and centre of Gravity





























Selasa, 10 Oktober 2017

Analysis of TRUSSES

What is a Truss?

In engineering, a truss is a structure that "consists of two-force members only, where the members are organized so that the assemblage as a whole behaves as a single object".

A "two-force member" is a structural component where force is applied to only two points. Although this rigorous definition allows the members to have any shape connected in any stable configuration, trusses typically comprise five or more triangular units constructed with straight members whose ends are connected at joints referred to as nodes.

planar truss is one where all members and nodes lie
within a two-dimensional plane, while a space truss has members and nodes that extend into three dimensions. The top beams in a truss are called top chords and are typically in compression, the bottom beams are called bottom chords, and are typically in tension. The interior beams are called webs, and the areas inside the webs are called panels.

Truss types

For more truss types, see truss types used in bridges. A large timber Howe truss in a commercial building

There are two basic types of truss:

(i) pitched truss, or common truss
(ii) The parallel chord truss


The pitched truss, or common truss, is characterized by its triangular shape. It is most often used for roof construction. Some common trusses are named according to their web configuration. The chord size and web configuration are determined by span, load and spacing.

The parallel chord truss, or flat truss, gets its name from its parallel top and bottom chords. It is often used for floor construction.

A combination of the two is a truncated truss, used in hip roof construction. A metal-plate-connected wood truss is a roof or floor truss whose wood members are connected with metal connector plates.

Warren Truss


Truss members form a series of equilateral triangles, alternating up and down.



Pratt Truss


The Pratt truss was patented in 1844 by two Boston railway engineers, Caleb Pratt and his son Thomas Willis Pratt. The design uses vertical members for compression and diagonal members to respond to tension. The Pratt truss design remained popular as bridge designers switched from wood to iron, and from iron to steel. This continued popularity of the Pratt truss is probably due to the fact that the configuration of the members means that longer diagonal members are only in tension for gravity load effects. This allows these members to be used more efficiently, as slenderness effects related to buckling under compression loads (which are compounded by the length of the member) will typically not control the design. Therefore, for given planar truss with a fixed depth, the Pratt configuration is usually the most efficient under static, vertical loading.


Bowstring truss

A bowstring truss is used on the oldest metal bridge in Virginia
Named for their shape, bowstring trusses were first used for arched truss bridges, often confused with tied-arch bridges.
Thousands of bowstring trusses were used during World War II for holding up the curved roofs of aircraft hangars and other military buildings. Many variations exist in the arrangements of the members connecting the nodes of the upper arc with those of the lower, straight sequence of members, from nearly isosceles triangles to a variant of the Pratt truss.

Kingpost Truss


One of the simplest truss styles to implement, the king post consists of two angled supports leaning into a common vertical support.

The queen post truss, sometimes queen-post or qqueens post is similar to a king post truss in that the outer supports are angled towards the centre of the structure. The primary difference is the horizontal extension at the centre which relies on beam action to provide mechanical stability. This truss style is only suitable for relatively short spans.

Lenticular truss


The Waterville Bridge in Swatara State Park in Pennsylvania is a lenticular truss. Lenticular trusses, patented in 1878 by William Douglas (although the Gaunless Bridge of 1823 was the first of the type), have the top and bottom chords of the truss arched, forming a lens shape. A lenticular pony truss bridge is a bridge design that involves a lenticular truss extending above and below the roadbed.

Town's lattice truss


American architect, Ithiel Town designed Town's Lattice Truss as an alternative to heavy-timber bridges. His design, patented in 1820 and 1835, uses easy-to-handle planks arranged diagonally with short spaces in between them.

Vierendeel truss


A Vierendeel bridge, which lacks diagonal elements in the primary structure. The Vierendeel truss is a structure where the members are not triangulated but form rectangular openings, and is a frame with fixed joints that are capable of transferring and resisting bending moments. As such, it does not fit the strict definition of a truss (since it contains non-two-force members); regular trusses comprise members that are commonly assumed to have pinned joints, with the implication that no moments exist at the jointed ends. This style of structure was named after the Belgian engineer Arthur Vierendeel, who developed the design in 1896. Its use for bridges is rare due to higher costs compared to a triangulated truss.

Analysis of frames:

A frame is a structure made of several bars/ rods welded / riveted together. The bars are angle irons/ channels of “i” or “t” sections. These are called members on application of load on to the structure, the members remain loaded with tensile/compressive load.

Members under tension are called “tie”, Members under compression are called “strut”. The structure formed by the members (tie/ strut) is called “truss”.Extensively used in roof, bridge, sheds etc.

Perfect Truss:

Structure is made of members just sufficient to keep it in equilibrium, when loaded without any change of shape

N = 2j – 3 

                               where,        ‘n’ is the number of members, and
                                                   ‘j’ no of joints

It is efficient and optimized structure.

Imperfect Truss:
Structure is made of members more or lesser than the minimum numbers necessary to keep it in equilibrium, when loaded
N ≠ 2j – 3

if                                               N > 2j – 3 ----------------------- it is redundant Imperfect Truss

          if                                         N < 2j – 3  ---------------------it is Deficient imperfect Truss      

                 


Kamis, 05 Oktober 2017

Nobel Prize winners....2017

Physics 

Kip Stephen Thorne (born June 1, 1940) is an American theoretical physicist and Nobel laureate, known for his contributions in gravitational physics and astrophysics. A longtime friend and colleague of Stephen Hawking and Carl Sagan, he was the FeynmanProfessor of Theoretical Physics at the California Institute of Technology (Caltech) until 2009 and is one of the world's leading experts on the astrophysical implications of Einstein's general theory of relativity. He continues to do scientific research and scientific consulting, most notably for the Christopher Nolan film Interstellar.

In 2017, Thorne was awarded the Nobel Prize in Physics along with Rainer Weiss and Barry C. Barish "for decisive contributions to the LIGO detector and the observation of gravitational waves".

Rainer "Rai" Weiss (born September 29, 1932) is a German-born American physicist, known for his contributions in gravitational physics and astrophysics. He is a professor of physics emeritus at MIT and an adjunct professor at LSU. He is best known for inventing the laser interferometric technique which is the basic operation of LIGO. Rainer Weiss was Chair of the COBE Science Working Group.

In 2017, Weiss was awarded the Nobel Prize in Physics, along with Kip Thorne and Barry Barish, "for decisive contributions to the LIGO detector and the observation of gravitational waves".

Barry Clark Barish (born January 27, 1936) is an American experimental physicist and Nobel Laureate. He is a Linde Professor of Physics, emeritus at California Institute of Technology. He is a leading expert on gravitational waves.

In 2017, Barish was awarded the Nobel Prize in Physics along with Rainer Weiss and Kip Thorne "for decisive contributions to the LIGO detector and the observation of gravitational waves".

Chemistry

Richard Henderson FRS FMedSci (born 19 July 1945) is a Scottish molecular biologist and biophysicist and pioneer in the field of electron microscopy of biological molecules. He shared the Nobel Prize in Chemistry in 2017 with Jacques Dubochet and Joachim Frank.

Joachim Frank (born 12 September 1940) is a German-born American biophysicist at Columbia University, New York City and a Nobel laureate. He is regarded as the founder of single-particle cryo-electron microscopy (cryo-EM), for which he shared the Nobel Prize in Chemistry in 2017 with Jacques Dubochet and Richard Henderson. He also made significant contributions to structure and function of the ribosome from bacteria and eukaryotes.

Jacques Dubochet (8 June 1942 (age 75), Aigle, Switzerland) is a retired Swiss biophysicist. He is a former researcher at the European Molecular Biology Laboratory in Heidelberg, Germany, and an honorary professor of biophysics at the University of Lausanne in Switzerland.

Prize amount: 9 million Swedish krona, to be shared equally between the Laureates.

Physiology or Medicine

Jeffrey Connor Hall (born 3 May 1945) is an American geneticist and chronobiologist. Hall is Professor Emeritus of Biology at Brandeis University and currently resides in Cambridge, Maine. Hall spent his career examining the neurological component of fly courtship and behavioural rhythms. Through his research on the neurology and behaviour of Drosophila melanogaster, Hall uncovered essential mechanisms of biological clocks and shed light on the foundations for sexual differentiation in the nervous system. He was elected to the National Academy of Sciences for his revolutionary work in the field of chronobiology. 

Along with Michael W. Young and Michael Rosbash, he was awarded the 2017 Nobel Prize in Physiology or Medicine "for their discoveries of molecular mechanisms controlling the circadian rhythm"


Michael Warren Young (born March 28, 1949) is an American biologist. He has dedicated over three decades to research studying genetically controlled patterns of sleep and wakefulness within Drosophila melanogaster. During his time at Rockefeller University, his lab has made significant contributions in the field of chronobiology by identifying key genes associated with regulation of the internal clock responsible for circadian rhythms. He was able to elucidate the function of the period gene, which is necessary for the fly to exhibit normal sleep cycles. Young's lab is also attributed with the discovery of the timeless and double-time genes, which makes proteins that are also necessary for circadian rhythm. 

He was awarded the 2017 Nobel Prize in Physiology or Medicine along with Jeffrey C. Hall and Michael Rosbash "for their discoveries of molecular mechanisms controlling the circadian rhythm"



Michael Morris Rosbash (born March 7, 1944) is an American geneticist and chronobiologist. Rosbash is a professor at Brandeis University and investigator at the Howard Hughes Medical Institute. Rosbash's research group cloned the Drosophila period gene in 1984 and proposed the Transcription Translation Negative Feedback Loop for circadian clocks in 1990. In 1998, they discovered the cycling gene, clock gene, and cryptochrome photoreceptor in Drosophila through the use of forwarding genetics, by first identifying the phenotype of a mutant and then determining the genetics behind the mutation. Rosbash was elected to the National Academy of Sciences in 2003. 

Along with Michael W. Young and Jeffrey C. Hall, he was awarded the 2017 Nobel Prize in Physiology or Medicine" for their discoveries of molecular mechanisms controlling the circadian rhythm".

Literature

Kazuo Ishiguro (Japanese: born 8 November 1954) is a British novelist, screenwriter and short story writer. He was born in Nagasaki, Japan; his family moved to England in 1960 when he was five. Ishiguro graduated from the University of Kent with a bachelor's degree in English and Philosophy in 1978 and gained his Master's from the University of East Anglia's creative writing course in 1980.

Ishiguro is one of the most celebrated contemporary fiction authors in the English-speaking world, having received four Man Booker Prize nominations and winning the 1989 award for his novel The Remains of the Day. 

His 2005 novel, Never Let Me Go, was named by Time as the best novel of 2005 and included in its list of the 100 best English-language novels from 1923 to 2005. His seventh novel, The Buried Giant, was published in 2015.

In 2008, The Times ranked Ishiguro 32nd on their list of "The 50 Greatest British Writers Since 1945". In 2017, the Nobel Prize in Literature was awarded to Ishiguro "who, in novels of great emotional force, has uncovered the abyss beneath our illusory sense of connection with the world.

Why the F/A-18 Is Such a Badass Plane?????


The 35-year odyssey of the mighty Hornet.

On the first day of the Persian Gulf War, four F/A-18Cs took off from the USS Saratoga to bomb an airfield in southwestern Iraq. These F/A-18s were heavy. Each carried four MK 84 2000-lb. bombs, two AIM-7 Sparrows, two AIM-9L Sidewinders, and a centerline drop tank. As the Hornets from VFA-81 (the "Sunliners") made their approach, an E-2 Hawkeye airborne control aircraft passed the word to the pilots: Two Iraqi MiG-21s were on the hunt.

The MiGs turned to intercept the Hornets, closing at 1.2 Mach. While two of the Hornets stood off, Navy Lieutenant Commander Mark I. Fox and his wingman, Lieutenant Nick Mongilio, turned into the enemy. Fox locked onto one plane, firing both a Sparrow and a Sidewinder, while Mongilio launched a single Sidewinder at the other. In a heartbeat, both Iraqi planes were destroyed. A mere 40 seconds passed from the initial E-2 warning to downing the Iraqi jets.

Those two Iraqi MiGs are the only aerial victories for the F/A-18 Hornet/Super Hornet during its decades of service—no surprise, since the opponents in America's recent conflicts lacked the air power to challenge the U.S. Even so, the swift manner of success showed what the F/A-18 could do and why it was built.
Hornets weren't always the Navy's first choice. But they became the go-to choice for decades.

Strike Fighter

The first thing to notice about the Hornet is the "F/A" in the F/A-18 designation, meaning the jet was designed to be both a fighter and an attack aircraft. This plane was a way for the Navy to replace multiple single-mission aircraft with a jet that could do it all, but it was a long time coming.


The aircraft carrier-based fighter planes of World War II, such as the Grumman F6F Hellcat and Vought F4U Corsair, could carry bomb loads as heavy as the dive bombers of the day, successfully combining fighter and attack capabilities into a single aircraft. But the low power-to-weight ratio of these early jets forced the U.S. military to go in a different direction. The carrier aircraft of the 1950s and '60s tended to be the specialized fighter or attack aeroplanes.

The legendary F-4 Phantom of the Vietnam War era demonstrated the potential of a fighter/attack aeroplane. Even so, the Navy's concern for air superiority and defending its carriers from enemy aircraft led it to order the Grumman F-14 Tomcat in 1969. The Tomcat was a good plane, but an expensive one. As a result, the Navy was directed to seek a cheaper alternative by adopting one of the competitors from the Air Force's Lightweight Fighter Program.

What Google's New Camera Doesn't Do...... ??

Amid new phones and a suite of smart speakers, Google announced a clever little camera at its hardware event today. The Google Clips is designed to sit on your counter, or your end table, or your desk, and point in a general direction where something interesting might happen. When its AI senses a picture, it takes the shot. But it's the best feature is what it doesn't do—it doesn't run your data over the internet automatically.

The advent of advanced machine learning opens up all kinds of technological superpowers. Google Photos can recognize faces. Smart speakers everywhere can recognize voices. Typically, these tricks require the internet. Because machine learning takes a lot of computing horsepower, the heavy lifting is done by a powerful server off in a data centre located who knows where. This is supercharged hardware that is too big and power-hungry and expensive to put in every phone.

This necessarily creates some security risks. Everyone who handles your data in transit (like your ISP) will have a chance to look at it. Even if the data is encrypted and unintelligible—as the recordings from all major smart speakers are—it can be tracked or saved for later. Perhaps worst of all, the servers where this work is done make a juicy target for hackers. They are accordingly well-protected, but their security is out of your hands. That's to say nothing of government pressure on tech companies to hand over information, often without a warrant. These are risks you run when you upload a picture to Google Photos for automatic optimization, for example.

Google's Clip camera does its AI work within the camera itself. It's an impressive technical feat made possible by new AI-processing chips, and which offers a few handy bonuses. First, it can work even if you don't have an internet connection. Second, anything you do not actively choose to expose to the internet will never leave the camera. It's a distinct and personal sort of security. You don't have to take Google's word that its infrastructure is secure, or your ISP's word that it is not snooping on your data, or the state's word that it is not slurping up all the data it can find—you know, just in case it needs that information later. Instead, you can know that the data never left your house. It's security that doesn't rely on trust.

This refreshingly analogue sort of security is more vital than ever in an increasingly online world. No doubt it is showing up in large part because small, cheap, powerful AI-processing chips enable it. But it's hard to deny that the always-listening, always-watching vision of the future has been appearing more dystopian by the day, especially in the face of government surveillance and seemingly constant data breaches. It's getting harder to sell a gadget that ignores these real security concerns.
features like this—as well as things like physical camera shutters and mute buttons that electronically disconnect the microphones they control—will become more prevalent as time goes on. Sure, companies like Google will always thrive on your data in a way that can still be uncomfortable, using your photos to fine-tune its own technology or your searches as a means of targeting advertising. But security that acknowledges the fact that you might not trust everyone out there in cyberspace and accommodates that very fair suspicion is a welcome bit of good news.

Sabtu, 30 September 2017

iOS 11 update

iOS 11 update fixes Microsoft email problems, reportedly helps with battery life drain

APPLE has rolled-out its first update to iOS 11, which launched worldwide last week. The new software update includes a number of fixes for issues encountered by those who have already upgraded.
Apple has launched its first update to iOS 11.
Dubbed iOS 11.0.1, the new software update includes fixes to a number of bugs and glitches with the new operating system.
iOS 11, which is available for iPhone, iPad and iPod Touch owners now, brings a swathe of new features.
The new mobile operating brings a number of improvements to voice assistant Siri, as well as a completely redesigned Control Centre, one-handed keyboard, and better multitasking support on iPad.
However, there have been a number of teething issues with iOS 11 – as is to be expected with any major software update.
Some users reported a dip in battery life since upgrading their iPhone to the latest version of iOS.
A number of iPhone owners believe this has improved since the move to iOS 11.0.1, although Apple does not single-out battery life in the release notes for this update.
iOS 11 also appeared to cause some issues for Outlook.com, Office 365 and Exchange 2016 email addresses – leaving users unable to send messages from these accounts within the default Mail app.
Thankfully, this appears to be fixed with iOS 11.0.1.
As reported by ArsTechnica, Apple has updated its support pages around the Exchange email bug, which left users trying to send emails from a Microsoft address in Mail, with a new timeframe.
The company has originally written: "Apple is working closely with Microsoft to resolve the issue and will release a fix soon in an upcoming software update."
However, this has now been updated to state that users will experience the issue "until you update to iOS 11.0.1”.
Apple does not reveal what exactly is included in the 286.6MB software update. However, third-party developers have unearthed some details within the code itself.
iOS 11.0.1 appears to include changes to the Camera and Photos app.


Kamis, 28 September 2017

Up for Auction: Einstein Letters Detailing General Relativity and Grand Unified Theory..

Two letters written by Albert Einstein detailing his thoughts on some of the most famous theories in physics are going up for auction this week, according to Nate D. Sanders Auctions, which is auctioning off the letters.


Einstein wrote the two letters to his friend and scientific sounding board Michele Besso. One letter outlines Einstein's early thoughts on a grand unified theory, while the other, written much later, is a bit more philosophical, asking what can be known and whether some physical theories can ever be proved.

The bidding for each letter starts at $60,000. Sam Heller, a spokesman for the auction house, said the letters came from a private collection, whose owner didn't want to be identified. [8 Ways You Can See Einstein's Theory of Relativity in Real Life]

In one of the letters, written by Einstein in Gatow, a district of Berlin, Germany, on Sept. 5, 1929, he detailed his thoughts on the so-called grand unified theory in physics. At the time, Einstein was in Gatow attempting to escape the rush of publicity — the press and thousands of well-wishers — surrounding his 50th birthday; he was staying with a friend and physician named Janos Plesch, according to Albrecht Fölsing's biography of Einstein.

Albert Einstein wrote this letter about the grand unified theory on Sept. 5, 1929, while he was in Gatow, a district of Berlin, Germany.Credit: Nate D. Sanders Auctions

At that point in his life, Einstein was working on unifying gravity and electromagnetism, as he felt that both were underlying manifestations of a deeper theory. He didn't succeed — physicists still haven't managed to do it — but the letter illustrates the directions he thought might be fruitful for solving the theory. Notably, he dispensed with parts of quantum mechanics, which describes the behaviour of particles in a probabilistic way, as illustrated in one part of the letter:


"However, the very best thing, on which I have worked for days and half the nights, speculating and making calculations, is now completed and lying in front of me, compressed into seven pages with the title 'Unified Field Theory.' It looks antiquated, and the dear colleagues, including you, my dear, will initially stick their tongues out as far as possible. After all, these equations do not contain Planck's constant h." [Einstein Quiz: Test Your Knowledge of the Famous Genius]

Planck's constant, which determines the relationship between energy and wavelength, appears in most quantum mechanical theories, and in the late 1920s, Einstein wasn't as enamoured of the theory as many of his physicist colleagues were; he felt that the statistical nature of quantum mechanics was a problem for the theory. In other words, in many quantum mechanical applications, you can find a probability that a particle will be in a given place, for example, but you can't say for sure exactly where it is. Einstein thought that meant the theory was incomplete.

Einstein says as much in the letter: "But once they have clearly reached the performance limit of the statistics craze, people will remorsefully return to the time-space concept, and then these equations will constitute a point of departure." Basically, he thought that his work might be a first step in finding a unified theory not based on probabilistic calculations, the way quantum mechanics is, but rather something more akin to classical theories like mechanics, where, for example, the location of an object can be specified exactly.

Einstein claimed to have found a way to include a "distant parallelism" when describing space-time. Distant parallelism, which states that parallel lines never meet, is a basic premise of the Euclidean geometry most people learn in school. But Euclidean geometry doesn't always occur in geometries used in some general relativistic calculations. That particular methodology ended up not producing a unified theory.

The second letter was written much later, on April 15, 1950. By that time, Einstein was in Princeton at the Institute for Advanced Study, where he would remain until his death in 1955. This letter also talks about general relativity. One sentence seems to speak of a relationship to God: "There is one thing that I have learned in the course of a long life: It is devilishly difficult to get closer to 'Him' if one does not want to remain on the surface."

But to say Einstein was speaking of God would be a misreading, said Galina Weinstein, a historian of science who authored "Einstein's Path to the Special Theory of Relativity" (Cambridge Scholars Publishing, 2017). Weinstein said the "Him" reference has little to do with religion.

"Einstein does not talk about what connections with God he had (or didn't have). He only talks about unified field theory," she told Live Science in an email. The rest of the paragraph bears this out; the discussion is about his mathematical technique for coming up with something like a unified theory that could reconcile gravity with both electromagnetism and quantum mechanics. (That, too, proved to be a dead end.)

The Nate Sanders auction house has sold other Einstein memorabilia, Heller said. In August, the firm sold a 1938 letter from Einstein to Bessolamenting the agreement British Prime Minister Neville Chamberlain signed with Germany for $31,250, and an autographed copy of a famous photo of Einstein sticking out his tongue sold for $125,000 in July.

Rabu, 27 September 2017

MCQs on Friction

Friction

Q1. The force of friction acts in a direction _____ to the direction of motion of the object.

a. Same.
b. Opposite👈 
c. Perpendicular.
d. Downwards

Q2. The force of friction depends upon 

a. Nature of surface of contact. 
b. The material of objects in contact. 
c. Both ‘a’ and ‘b’👈 
d. None of the above

Q3. The body will move only when 

a. Force of friction = applied force. 
b. The force of friction < applied force👈 
c. Force of friction > applied force.
d. All of the above 

Q4. The ratio of the limiting force of friction (F) to the normal reaction (R) is known as 

a. Coefficient of friction👈 
b. Force of friction. 
c. The angle of friction. 
d. None of the above

Q5. The coefficient of friction (µ) is equal to? 
a. TanΦ👈 
b. SinΦ. 
c. CotΦ. 
d. CosΦ 
                        (Where Φ = angle of friction)

Q6. The force of friction (F) is equal to 

a. µR/2 
b. µR👈 
c. 2µR 
d. µR/3 

Q7. The value of Normal reaction (R) for the following figure is

a. W – PSinθ👈 
b. W + PSinθ 
c. P – WSinθ 
d. P + WSinθ 

(Where, W = Weight of block, P = Applied force, µ = Coefficient of friction, θ = Angle)

Q8. When the two surfaces in contact have a thick layer of lubricant in between them, it is known as 

a. Solid friction. 
b. Rolling friction. 
c. Greasy friction. 
d. Film friction👈 

Q9. When the two surfaces in contact have a very thin layer of lubricant in between them, it is known as 

a. Solid friction. 
b. Rolling friction. 
c. Greasy friction. 
d. Film friction👈

Q10.  The force of friction is maximum when the surface
a.  Is on the point of motion👈
b.  Is at rest
c.  Is moving
d.  The friction remains same at all points
Q11.  The types of threads used in Screw jacks are
a.  Metric thread
b.  Square👈
c.  ACME
d.  Buttress

Q12. For a single started thread, the lead is equal to
a.  p/2
b.  p👈
c.  2p
d.  p/3

Where p = pitch

Q13.  The slope of the thread with horizontal is known as
a.  helix
b.  lead
c.  pitch
d.  helix angle👈

Q14.  The flat pivot bearing is used to bear

a.  axial thrust👈
b.  radial thrust
c.  both radial and axial thrust
d.  None of the above

Q15.  In plate clutch, the clutch plate is placed

a. Before flywheel
b.  After pressure plate
c.  In between pressure plate and flywheel👈
d.  None of the above

Q16.  The clutch is placed in the four-wheeler, in between
Engine and gearbox👈
Gear box and differential
Propeller shaft and differential
None of the above

Q17.  The radius of the friction circle is independent of
a.  Weight of the shaft👈
b.  Radius of the shaft
c.  Coefficient of friction
d.  All of the above

Q18.  In rotation of shaft, the power lost in friction is given by
a.  W x µ x V Watts👈
b.  W x µ x V Kilo-watts
c.  W x µ / V Watts
d.  W x µ / V Kilo-watts

Where, W=Weight of shaft, µ=Coefficient of friction, V= Velocity of shaft (in m/s)

    Senin, 25 September 2017

    MCQs on Friction

    Friction

    Q1. The force of friction acts in a direction _____ to the direction of motion of the object.

    a. Same.
    b. Opposite👈 
    c. Perpendicular.
    d. Downwards

    Q2. The force of friction depends upon 

    a. Nature of surface of contact. 
    b. The material of objects in contact. 
    c. Both ‘a’ and ‘b’👈 
    d. None of the above

    Q3. The body will move only when 

    a. Force of friction = applied force. 
    b. The force of friction < applied force👈 
    c. Force of friction > applied force.
    d. All of the above 

    Q4. The ratio of the limiting force of friction (F) to the normal reaction (R) is known as 

    a. Coefficient of friction👈 
    b. Force of friction. 
    c. The angle of friction. 
    d. None of the above

    Q5. The coefficient of friction (µ) is equal to? 
    a. TanΦ👈 
    b. SinΦ. 
    c. CotΦ. 
    d. CosΦ 
                            (Where Φ = angle of friction)

    Q6. The force of friction (F) is equal to 

    a. µR/2 
    b. µR👈 
    c. 2µR 
    d. µR/3 

    Q7. The value of Normal reaction (R) for the following figure is

    a. W – PSinθ👈 
    b. W + PSinθ 
    c. P – WSinθ 
    d. P + WSinθ 

    (Where, W = Weight of block, P = Applied force, µ = Coefficient of friction, θ = Angle)

    Q8. When the two surfaces in contact have a thick layer of lubricant in between them, it is known as 

    a. Solid friction. 
    b. Rolling friction. 
    c. Greasy friction. 
    d. Film friction👈 

    Q9. When the two surfaces in contact have a very thin layer of lubricant in between them, it is known as 

    a. Solid friction. 
    b. Rolling friction. 
    c. Greasy friction. 
    d. Film friction👈

    Q10.  The force of friction is maximum when the surface
    a.  Is on the point of motion👈
    b.  Is at rest
    c.  Is moving
    d.  The friction remains same at all points
    Q11.  The types of threads used in Screw jacks are
    a.  Metric thread
    b.  Square👈
    c.  ACME
    d.  Buttress

    Q12. For a single started thread, the lead is equal to
    a.  p/2
    b.  p👈
    c.  2p
    d.  p/3

    Where p = pitch

    Q13.  The slope of the thread with horizontal is known as
    a.  helix
    b.  lead
    c.  pitch
    d.  helix angle👈

    Q14.  The flat pivot bearing is used to bear

    a.  axial thrust👈
    b.  radial thrust
    c.  both radial and axial thrust
    d.  None of the above

    Q15.  In plate clutch, the clutch plate is placed

    a. Before flywheel
    b.  After pressure plate
    c.  In between pressure plate and flywheel👈
    d.  None of the above

    Q16.  The clutch is placed in the four-wheeler, in between
    Engine and gearbox👈
    Gear box and differential
    Propeller shaft and differential
    None of the above

    Q17.  The radius of the friction circle is independent of
    a.  Weight of the shaft👈
    b.  Radius of the shaft
    c.  Coefficient of friction
    d.  All of the above

    Q18.  In rotation of shaft, the power lost in friction is given by
    a.  W x µ x V Watts👈
    b.  W x µ x V Kilo-watts
    c.  W x µ / V Watts
    d.  W x µ / V Kilo-watts

    Where, W=Weight of shaft, µ=Coefficient of friction, V= Velocity of shaft (in m/s)

      Minggu, 24 September 2017

      Will this be a difference we can see in the sheetmetal of upcoming Ford models?

      Don’t lie, When asked which superpower you’d most want to have, it’d be money. Unlike broke and humble Peter Parker or muscled-up Superman, superheroes like Batman get their powers by spending billions on next-generation technology. Better still is that they can taste the good life and, when their consciouses question the morality behind being greenback gluttons, they can justify it by the fact they use the money to save lives and fight crime. Of course, the more fun of the two main monied superheroes is Iron Man.

      He lives in Malibu, California and not depressing Gotham and uses holographic devices to develop his super suits. Taking a cue from him, Ford has recently decided to team up with Microsoft to use the latest in hologram technology to develop the cars of the future. The technology is called HoloLens and is essentially a pair of wireless goggles that use augmented reality to paint a picture of sorts onto a physical object. In this case, that object is a full-scale clay model of a future model like the Ford Fusion. Ford recently let it be known that it’s using the technology to augment the old school clay model process by shortening the time it takes to see physical changes on the model.


      “It’s amazing we can combine the old and the new – clay models and holograms – in a way that both saves time and allows designers to experiment and iterate quickly to dream up even more stylish, clever vehicles,” says Jim Holland, Ford vice president, vehicle component and systems engineering. “Microsoft HoloLens is a powerful tool for designers as we continue to re-imagine vehicles and mobility experiences in fast-changing times.” This could prove to be a boon for designers, who now have more tools at their fingertips and more time freed up to welcome in the spirit of inspiration. For example, it used to take days to manifest proposed changes to a grille on a clay model.

      Using Microsoft’s HoloLens technology, designers can simply slap on a pair of goggles and see it as if it were already on the model. Now if only they’d use it to fix the Taurus and C-Max


      Kamis, 14 September 2017

      Resolution of forces

      Mechanics

      It is defined as that branch of science, which describes and predicts the conditions of rest or motion of bodies under the action of forces. Engineering mechanics applies the principle of mechanics to design, taking into account the effects of forces. Statics deal with the condition of equilibrium of bodies acted upon by forces.


      Rigid body
      A rigid body is defined as a definite quantity of matter, the parts of which are fixed in position relative to each other. Physical bodies are never absolutely but deform slightly under the action of loads. If the deformation is negligible as compared to its size, the body is termed as rigid.





      Force

      Force may be defined as any action that tends to change the state of rest or motion of a body to which it is applied.

      The three quantities required to completely define force are called its specification or characteristics. So the characteristics of a force are:

      1. Magnitude
      2. Point of application
      3. Direction of application

      Concentrated force/point load



      Distributed force



      The line of action of force

      The direction of a force in the direction, along with a straight line through its point of application in which the force tends to move a body when it is applied. This line is called the line of action of force.

      Representation of force

      Graphically a force may be represented by the segment of a straight line.
                                                    

      Various Systems of Forces

      Parallel forces on a plane

      1. Like parallel forces: Coplanar parallel forces when acting in the same direction.



      2. Unlike parallel forces: Coplanar parallel forces when acting in opposite direction.



      3. Resultant of like parallel forces: Let P and Q are two like parallel forces act at points A and B. 

                           R = P + Q                        

      4. Resultant of unlike parallel forces:                                                                         

                                                 R = P - Q          

       

       Couple Force

      Two, unlike equal parallel forces, form a couple.


      The rotational effect of a couple is measured by its moment. Moment = P × l

      Sign convention: Anticlockwise couple (Positive)
                                        Clockwise couple (Negative)


      Question 1: A rigid bar CABD supported as shown in the figure is acted upon by two equal horizontal forces P applied at C and D. Calculate the reactions that will be induced at the points of support. Assume l = 1.2 m, a = 0.9 m, b =0.6 m.

      Solution:     Taking moment about A,
      Ra = Rb
      Rb ✖l + P ✖ b = P ✖ a
      Rb = P(0.9 - 0.6) ➗ 1.2

      Rb = 0.25P(­↑)

      Ra = 0.25P(↓)

      Question2: Owing to weight W of the locomotive shown in the figure, the reactions at the two points of support A and B will each be equal to W/2. When the locomotive is pulling the train and the drawbar pull P is just equal to the total friction at the points of contact A and B, determine the magnitudes of the vertical reactions Ra and Rb.

      Solution
                  åV = 0
      Ra + R= W

      Taking moment about B,
      å MB = 0
      Ra ´ 2a + P ´ b = W ´ a
                            Þ Ra   =(W .a - P.b)
      2a

      Question 3: The four wheels of a locomotive produce vertical forces on the horizontal girder AB. Determine the reactions Ra and Rb at the supports if the loads P = 90 KN each and Q = 72 KN (All dimensions are in m).

      Solution
      åV = 0
      Ra + Rb = 3P + Q
      Þ Ra + Rb = 3´ 90 + 72
      Þ Ra + R= 342KN
      å M A = 0
      Rb ´ 9.6 = 90 ´1.8 + 90 ´ 3.6 + 90 ´ 5.4 + 72 ´ 8.4
      Þ R= 164.25KN
      \ Ra = 177.75KN
      Question 4: The beam AB in figure is hinged at A and supported at B by a vertical  cord which passes over a friction-less pulley at C and carries at its end a load P. Determine the distance x from A at which a load Q must be placed on the beam if it is to remain in equilibrium in a horizontal position. Neglect the weight of the beam.

      Solution
                           

                                            Take å M A = 0
                                                       S ´ l = Q ´ x
                                                      Þ  x =    P.l   
                                                              Q

      Composition of force

      The reduction of a given system of forces to the simplest system that will be its equivalent is called the problem of the composition of forces into components.

      These components are also referred to as rectangular components of a force.
      To find the component of a vector along a given axis, we drop a perpendicular on the given axis from the vector.
      For example, OA is the given vector. We have to find its component along the horizontal axis. Let us call it the x-axis. We drop a perpendicular AB from An onto the x-axis. The length OB is the component of OA along the x-axis. If OA makes angle p with the horizontal axis, then in triangle OAB, OB/OA = Cos P or OB = OA Cos P.
      Remember that component of a vector is a scalar quantity. If the component is along the negative direction, we put a (-) sign with it.)


      Usually, we resolve the vector into components along mutually perpendicular components.
      OB is the x component OB = OA Cos p.
      Similarly component along the vertical direction or the y-axis is OC
      OCAB is a rectangle.
      So OC = AB
      look at triangle OAB again,
      AB/OA = Sin p
      => AB = OA Sin p = OC
      Thus y component OC = OA Sin p.
      Note that p is the angle with the horizontal axis.

      Solved Numericals on "Rectangular components of a Force"

      Question

      Find the X and Y components of a 25 m displacement at an angle of 210 deg.
      Answer

            OA is the displacement vector. 
      The angle with the horizontal axis is 210 deg - 180 deg = 30 deg
      x component = OB = -25 Cos 30 deg = -21.7
      y component = AB = -25 Sin 30 deg = -12.5 m
      Note that each component is pointing along the negative coordinate direction and thus we must take it as negative.
      Now we will solve a problem using the component method

      Question

      Find the resultant of the following two displacements: 2 m at 30 deg and 4 m at 120 deg. The angles are taken relative to the x-axis.
             
                          
      Answer
      Rx = 2 Cos 30 deg - 4 Cos 60 deg = - 0.268 m
      Ry = 2 Sin 30 deg + 4 Sin 60 degg = 4.46 m
      R = √(Rx2 + Ry2)
      = √(-0.2682 + 4.462) = 4.47 m
       
      tan q = Ry/Rx = 4.46/0.268
      => q = 86.6 deg
      p = 180 deg - 86.6 deg = 93.4 deg

      Parallelogram law

      If two forces represented by vectors OA and OB acting under an angle α are applied to a body at point O. Their action is equivalent to the action of one force, represented by vector OC, obtained as the diagonal of the parallelogram constructed on the vectors OA and OB directed as shown in the figure.
      Force OC is called the resultant of OA and OB and the forces are called its components.


      Special cases







      Question

      Two forces of 3 N and 4 N are acting at a point such that the angle between them is 60 degrees. Find the resultant force

      Answer

      Magnitude R of the resultant force is R = √(32 + 42 + 2 x 3 x 4 Cos 60 deg)
      = √(9 + 16 + 12) = √(37 = 6.08 N
      Direction of R is given by finding the angle q
      tan q = (3 Sin 60 deg)/(4 + 3 Cos 60 deg) = 0.472
      q = tan-1 0.472
      = 25.3 deg
      Thus R is 6.08 N in magnitude and is at an angle of 25.3 deg to the 4 N force.

      Question

      A car goes 5 km east 3 km south, 2 km west and 1 km north. Find the resultant displacement.

      Answer

      First, we will make the vector diagram
      O to A 5 km east
      A to B 3 km south
      B to C 2 km west
      c to D 1 km north
      Net displacement is OD
      Along the horizontal direction: 5 km east - 2 km west = 3 km east
      Along the vertical direction: 3 km south - 1 km north = 2 km south
      OD = √(32 + 22 + 2 x 3 x Cos 90 deg)
      = √(32 + 22)
      = 3.6 km
      tan p = 2/3
      or p = tan-12/3 = 34 deg
      Thus resultant displacement is 3.6 km, 34 deg south of east.

      Action and reaction
      Often bodies in equilibrium are constrained to investigate the conditions.

                                    

      Free body diagram

      Free body diagram is necessary to investigate the condition of equilibrium of a body or system. While drawing the free body diagram all the supports of the body are removed and replaced with the reaction forces acting on it.
      Draw the free body diagrams of the following figures.

      3. Draw the free body diagram of the following figures.
                                   
                            

      Equilibrium of colinear forces:

      Two forces can be in equilibrium only if they are equal in magnitude, opposite in direction and collinear in action.


                                  
                                                                         Figure: Tension

                                   
                                                                        Figure: Compression



      Equilibrium of concurrent forces in a plane

      1. If a body known to be in equilibrium is acted upon by several concurrent, coplanar forces, then these forces or rather their free vectors, when geometrically added must form a closed polygon. 
      2. This system represents the condition of equilibrium for any system of concurrent forces in a plane.
                                                  R tan 
                                                                                         sec 
                    

       Lami’s theorem

      If three concurrent forces are acting on a body kept in an equilibrium, then each force is proportional to the sine of the angle between the other two forces and the constant of proportionality is same.
                                    



      Problem: An electric light fixture of weight Q = 178 N is supported as shown in the figure. Determine the tensile forces S1 and S2 in the wires BA and BC, if their angles of inclination are given.

                                   
      Solution:

                                                                         Find S1 and S2 to get Answer.

      Theory of transmissibility of a force

      The point of application of a force may be transmitted along its line of action without changing the effect of force on any rigid body to which it may be applied.
                

      Moment of a Force               


      • Considering wrench subjected to two forces P and Q of equal magnitude. It is evident that force P will be more effective compared to Q, though they are of equal magnitude.
      • The effectiveness of the force as regards it is the tendency to produce rotation of a body about a fixed point is called the moment of the force with respect to that point.
      • Moment = Magnitude of the force × Perpendicular distance of the line of action of force.
      • Point O is called the moment centre and the perpendicular distance (i.e. OD) is called moment arm.
      • Unit is N.m

      Theorem of Varignon

      The moment of the resultant of two concurrent forces with respect to a centre in their plane is equal to the algebraic sum of the moments of the components with respect to some centre.