Applied Mechanics and Graphic Statics MCQs

Question 1

Moment of inertia of a squares of side ‘b’ about an axis through its centre of gravity, is

Accepted Answer

$$\frac{{{{	ext{b}}^4}}}{{12}}$$

Answer

$$\frac{{{{	ext{b}}^3}}}{4}$$

Answer

$$\frac{{{{	ext{b}}^4}}}{3}$$

Answer

$$\frac{{{{	ext{b}}^4}}}{8}$$

Question 2

When two forces, each equal to P, act at 90° to each other, then the resultant will be

Accepted Answer

$${	ext{P}}\sqrt 2 $$

Answer

P

Answer

$$\frac{{	ext{P}}}{{\sqrt 2 }}$$

Answer

2P

Question 3

According to Law of Triangle of Forces

Accepted Answer

If the forces acting on a particle be represented in magnitude and direction by the two sides of a triangle taken in order, their resultant will be represented in magnitude and direction by the third

Answer

Three forces acting at a point, can be rep-resented by the sides of a triangle, each side being in proportion to the force

Answer

Three forces acting along the sides of a triangle are always in equilibrium

Answer

If three forces acting on a, point can be represented in magnitude and direction, by the sides of a triangle taken in order, these will be in equilibrium

Question 4

The dimensions of centrifugal force are

Accepted Answer

M’L’T2

Answer

M1 L2 T2

Answer

M’L’T1

Answer

M’L-‘T2

Question 5

Periodic time of body moving with simple harmonic motion, is

Accepted Answer

Inversely proportional to its angular velocity

Answer

Directly proportional to its angular velocity

Answer

Directly proportional to the square of its angular velocity

Answer

Inversely proportional to the square of its angular velocity

Question 6

The height at which the end of a rope of length $$l$$ should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is

Accepted Answer

$$\frac{l}{{\sqrt 2 }}$$

Answer

$$\frac{3}{4}l$$

Answer

$$\frac{1}{2}l$$

Answer

$$\frac{2}{{\sqrt 3 }}l$$

Question 7

The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

Accepted Answer

$$\frac{{\sin \left( {\alpha - \beta } \right)}}{{\sin \left( {\alpha + \beta } \right)}}$$

Answer

$$\frac{{\sin \left( {\alpha + \beta } \right)}}{{\sin \left( {\alpha - \beta } \right)}}$$

Answer

$$\frac{{\cos \left( {\alpha - \beta } \right)}}{{\cos \left( {\alpha + \beta } \right)}}$$

Answer

$$\frac{{	an \left( {\alpha - \beta } ight)}}{{	an \left( {\alpha + \beta } ight)}}$$

Question 8

The C.G. of the shaded area of the bellow figure from the x-axis is

Accepted Answer

$$\frac{{3{	ext{b}}}}{{10}}$$

Answer

$$\frac{{	ext{a}}}{4}$$

Answer

$$\frac{{3{	ext{a}}}}{4}$$

Answer

$$\frac{{3{	ext{a}}}}{{10}}$$

Question 9

The velocity of a body fallen from height ‘h’, on reaching the ground is given by

Accepted Answer

$${	ext{v}} = \sqrt {2{	ext{gh}}} $$

Answer

v = 2gh

Answer

v = 2gh2

Answer

$${	ext{v}} = \frac{1}{{\sqrt {2{	ext{gh}}} }}$$