3) An object of 30 kg is moved with a velocity of 2 m/s on a horizontal smooth surface. What is the velocity of the block for 4 seconds if force of 40 N is applied on it in the direction of force?
a. 2 m/s
b. 4.6 m/s
c. 7.33 m/s
d. 9.33 m/s
Ans: C
4) If two objects of 30 kg and 10 kg move with equal kinetic energy, then what is the ratio of magnitudes for linear momentum?
a. √3 : 1
b. 1 : √3
c. 1 : 3√3
d. 1 : 3
a. constant
b. radius itself
c. variable
d. zero
Ans:D
15) The radius of curvature of trajectory for a profile is minimum, if __________
a. velocity is minimum
b. acceleration is maximum
c. both a. and b.
d. none of the above
Ans:C
16) What is the position of a particle A, if it moves along a path y = 2x3 / 3 with uniform velocity of 15 m/s?
( Assume vx = vy)
a. (0.33, 0.5)
b. (0.235, 0.707)
c. (0.577, 20.33)
d. (0.707, 0.235)
Ans:D
17) If a particle moves along a curved path, then what will be the normal component of velocity acting on the particle, if magnitude of tangential component of velocity is 30 m/s at an angle of 50o with the vertical?
a. 57.8 m/s
b. 68.9 m/s
c. 40.2 m/s
d. None of the above
Ans:D
18) If an elevator travels at constant velocity, the normal reaction R is given as ______
a. m (g +a)
b. m (g - a)
c. mg
d. ma
Ans:C
19) Force of 150 N moves a body in 5 sec along a straight line according to x = t3 - 60t. What is the mass of the moving body?
a. 17.23 kg
b. 15.23 kg
c. 15 kg
d. 5 kg
Ans:D
20) A block sliding down an inclined plane has acceleration _________ acceleration due to gravity.
a. less than
b. greater than
c. same as
d. none of the above
Ans:A
21) What is the average resistance required to stop a truck of mass 600 kg in a distance of 30 m, if initial speed is 30 m/sec?
a. 8000 N
b. 9 kN
c. 9.5 kN
d. 9 N
Ans:D
22) What is the distance traveled by an electron in first 4 seconds from its initial position, if velocity time relation is given as v = 3t?
a. 12 m
b. 15 m
c. 20 m
d. 24 m
Ans:D
23) A ball dropped from a wall of height h travels a distance of 50 m in last two seconds before landing. What is the height of the wall from which the ball was dropped?
a. 120.15 m
b. 127.37 m
c. 183.48 m
d. Insufficient data
Ans:B
24) A bus travels with a speed of 15 m/s when accelerated at 0.10 m/s2 from its rest position. What is the distance traveled?
a. 1125 m
b. 1000 m
c. 2250 m
d. None of the above
Ans:A
25) When acceleration is _______, velocity of a particle is constant.
a. constant but non zero
b. maximum
c. zero
d. none of the above
Ans:C
26) Which method is used to determine centroid of a composite figure?
a. Analytical method
b. Graphical method
c. Both a. and b.
d. None of the above
Ans:C
27) What is the distance of centroid with respect to diagonal shown in diagram below?
a. a /√3
b. a /√2
c. a /√18
d. 3a /√2
Ans:C
28) What is the centroidal distance of an equilateral triangle of side 2 m?
a. 0.866 m
b. 0.769 m
c. 1.000 m
d. 0.577 m
Ans:A
29) What is the reaction acting on point Q, for the simply supported beam shown below?
a. 5 N (↑)
b. 10 N (↑)
c. 10 N (↓)
d. 40 N (↓)
Ans:A
30) Which of the following statements is false about forces/couple?
a. Moment of the couple is free vector
b. Resultant and equilibrant are equal in magnitude and direction
c. Resultant of a couple is always zero
d. Parallelogram law is to be proved experimentally
Ans:B
31) The method of splitting a single force into two perpendicular components along x-axis and y-axis is called as _____
a. orthogonal resolution
b. perpendicular resolution
c. both a. and b.
d. none of the above
Ans:C
32) What is the angle made by force A with X and Y ?
(where X and Y are components of force A)
a. 75.52o
b. 60.65o
c. 14.03o
d. 14.47o
Ans:A
33) The maximum and minimum magnitude of resultant forces is 1000 N and 500 N at point. What are the values of two forces acting on it?
a. 500 N, 500 N
b. 450 N, 550 N
c. 300 N, 700 N
d. 250 N, 750 N
Ans:D
34) Which of the following statements is true for flat belts?
a. They are used for short distances between the pulleys
b. They have high efficiency
c. They are used in lathe machines
d. All of the above
Ans:C
35) What is the relation between tight side and slack side for a flat belt?
a. (Tight side x slack side) = e^ฮผฮฒ
b. (Tight side / slack side) = e^ฮผฮฒ
c. (Tight side + slack side) = e^ฮผฮฒ
d. None of the above
Ans:C
36) Which belt is used to transmit power at high speeds?
a. Flat belt
b. V belt
c. Both a. and b.
d. None of the above
Ans:B
37) If a truss consists of 8 joints, 10 members and 4 reaction components then, it is a __________
a. cantilever truss
b. defficient truss
c. redundant truss
d. none of the above
Ans:B
38) Which of the following conditions is satisfied for cantilever truss?
a. n > 2j – R
b. n < 2j – R
c. n = 2j – R
d. n ≠ 2j – R
Ans:C
39) Redundant truss is a type of ______
a. perfect truss
b. imperfect truss
c. stable truss
d. none of the above
Ans:B
40) Indeterminate structures have the number of unknown quantities _________ available conditions of equilibrium.
a. equal to
b. less than
c. more than
d. none of the above
Ans:C
41) Cantilever beam has one end _________ and other end _______.
a. hinged, free
b. fixed, free
c. fixed, hinged
d. none of the above
Ans: B
42) Coefficient of restitution is the ratio of impulse during __________
a. plastic deformation and elastic deformation
b. elastic deformation and plastic deformation
c. restoration period and deformation period
d. deformation period and restoration period
Ans:C
43) If coefficient of restitution is zero during plastic impact, then ___________
a. kinetic energy is conserved
b. momentum energy is conserved
c. bodies move away after impact
d. all of the above
Ans:B
44) What is the coefficient of restitution (e) for elastic impact?
a. e = 0
b. e = 1
c. e < 0
d. e > 1
Ans:B
45) Which of the following force(s) is a type of conservative force?
a. Frictional force
b. Gravity force
c. Both a. and b.
d. None of the above
Ans:B
46) What is the S.I unit of work done?
a. Joule
b. Newton meter
c. Both a. and b.
d. None of the above
Ans: C
47) Which of the following factors are related by work energy principle?
a. force, displacement and time
b. force, velocity, time and mass
c. force, velocity, displacement
d. displacement, time and mass
Ans: C
48) What is the kinetic energy at the highest point, if at an angle of 30o with the horizontal a ball is projected with a kinetic energy E?
a. E / 2
b. E / √2
c. 5E / 4
d. 3E / 4
Ans:D
49) What is the angle of projection for a bullet fired over a horizontal plane, when horizontal range is equal to 4 times the maximum height?
a. 30o
b. 45o
c. 76o
d. 90o
Ans:B
50) The angle of projection is 76o over a horizontal plane, if horizontal range (R) is equal to ________
A. maximum height (Hmax)
B. 4 maximum height (Hmax)
C. √3 maximum height (Hmax)
D. 4√3 maximum height (Hmax)