MCQsCentroid of Area/Lamina MCQs

Centroid of Area/Lamina

Q1) Which of the following laminas do not have centroid at its geometrical centre?

a. Circle
b. Equilateral triangle
c. Right angled triangle👈
d. None of the above

Q2) If a material has no uniform density throughout the body, then the position of centroid and centre of mass are ________

a. identical
b. not identical 👈
c. independent upon the density
d. unpredictable

Q3) What is the centroidal distance along the line of symmetry XO for the quarter circle shown below?
(where D= 4r/3π)

a. √(1/D)
b. √D
c. √2 (D) 👈
d. √2 (D2)

Q4) What is the angle made by side of a square lamina if it is freely suspended from a corner with the horizontal?

a. 0°
b. 45°👈
c. 90°
d. 180°

Q5) What is the C.G of an isosceles triangle of base 20 cm and side 40?

a. 12.90 cm👈
b. 13.28 cm
c. 19.36 cm
d. 38.72 cm

Q6) Uniformly distributed the load of 5 kN acts on a simply supported beam of length 10 m. What are the reactions at the end points of the beam?

a. 12.5 kN
b. 25 kN👈
c. 50 kN
d. None of the above

Q7) 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👈

Q8) What is the distance of centroid with respect to diagonal shown in the diagram below?

a. a /√3
b. a /√2
c. a /√18👈
d. 3a /√2

Q9) Which method is used to determine the centroid of a composite figure?

a. Analytical method
b. Graphical method
c. Both a. and b.👈
d. None of the above

Q10) Moment of Inertia of a rectangular section about any axis=
a.  bd^3/12
b.  db^3/12
c.  bd^3/12 + Ax^2👈
d.  πd^4/64

Where b=width, A=Area of the cross section, d=depth for rectangular section and diameter of circular
sections, x=distance between the centroid of the section from the axis.

Q11) Centroid of a section about X axis is:

a. About which ∫y^2dA =0
b. About which ∫ydA=0👈
c. About which ∫xydA=0
d. About which ∫x^2y^2dA=0

Q12) Moment of inertia of a section about X axis is

a. ∫y^2dA👈
b. ∫ydA
c. ∫xydA
d. ∫x^2y^2dA

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