MCQs of Moment of inertia of planar cross -sections (Fundamentals of Machine Design - 3141907)

Fundamentals of Machine Design (3141907) MCQs

MCQs of Moment of inertia of planar cross -sections

Showing 11 to 10 out of 20 Questions

11.

The center of gravity of a semi-circle lies at a distance of __________ from its base measured along the vertical radius.

(a)	3r/ 8
(b)	4r/ 3π
(c)	8r/3
(d)	3r/4π

12.

The center of gravity of a hemisphere lies at a distance of 3r / 8 from its base measured along the vertical radius.

(a)	Correct
(b)	Incorrect

13.

The center of gravity of a right circular solid cone is at a distance of __________ from its base, measured along the vertical axis. (where h = Height of a right circular solid cone.)

(a)	h/2
(b)	h/3
(c)	h/4
(d)	h/6

14.

Moment of inertia is

(a)	the second moment of force
(b)	the second moment of area
(c)	the second moment of mass
(d)	all of these

15.

The moment of inertia of a rectangular section(b = Width of the section and d = Depth of the section) is given by

(a)	$\frac{b d^{3}}{12}$
(b)	$\frac{d b^{3}}{12}$
(c)	$\frac{b d^{3}}{6}$
(d)	$\frac{d b^{3}}{6}$

16.

The moment of inertia of a rectangular section 3 cm wide and 4 cm deep about X-X axis is

(a)	$9 c m^{4}$
(b)	$12 c m^{4}$
(c)	$16 c m^{4}$
(d)	$20 c m^{4}$

17.

The moment of inertia of a square of a side (a) about an axis through its center of gravity is

(a)	$\frac{a^{2}}{8}$
(b)	$\frac{a^{3}}{12}$
(c)	$\frac{a^{4}}{12}$
(d)	$\frac{a^{4}}{16}$

18.

The moment of inertia of a circular section of diameter (d) is given by the relation

(a)	$\frac{π}{16} d^{4}$
(b)	$\frac{π}{32} d^{4}$
(c)	$\frac{π}{96} d^{4}$
(d)	$\frac{π}{64} d^{4}$

19.

Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its C.G. and parallel to the base, is

(a)	$\frac{b h^{3}}{4}$
(b)	$\frac{b h^{3}}{8}$
(c)	$\frac{b h^{3}}{12}$
(d)	$\frac{b h^{3}}{36}$

20.

Moment of inertia of a triangular section of base (b) and height (h) about an axis through its base, is

(a)	$\frac{b h^{3}}{4}$
(b)	$\frac{b h^{3}}{8}$
(c)	$\frac{b h^{3}}{12}$
(d)	$\frac{b h^{3}}{36}$

Showing 11 to 10 out of 20 Questions