Engineering Mechanics MCQs

Question 1

The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by (where, r = Amplitude of motion and y = Displacement of the particle from mean position.)

Accepted Answer

$$\omega \sqrt {{{	ext{r}}^2} - {{	ext{y}}^2}} $$

Answer

$$\omega \sqrt {{{	ext{y}}^2} - {{	ext{r}}^2}} $$

Answer

$${\omega ^2}\sqrt {{{	ext{y}}^2} - {{	ext{r}}^2}} $$

Answer

$${\omega ^2}\sqrt {{{	ext{r}}^2} - {{	ext{y}}^2}} $$

Question 2

If a given force (or a given system of forces) acting on a body __________ the position of the body, but keeps it in equilibrium, then its effect is to produce internal stress in the body.

Accepted Answer

Does not change

Answer

Change

Answer

Changes periodically

Answer

None of these

Question 3

The maximum height of a projectile on a horizontal plane, is

Accepted Answer

$$\frac{{{{	ext{u}}^2}{{\sin }^2}\alpha }}{{2{	ext{g}}}}$$

Answer

$$\frac{{{{	ext{u}}^2}{{\cos }^2}\alpha }}{{2{	ext{g}}}}$$

Answer

$$\frac{{{{	ext{u}}^2}{{\sin }^2}\alpha }}{{	ext{g}}}$$

Answer

$$\frac{{{{	ext{u}}^2}{{\cos }^2}\alpha }}{{	ext{g}}}$$

Question 4

The maximum frictional force which comes into play when a body just begins to slide over another surface is called

Accepted Answer

Limiting friction

Answer

Sliding friction

Answer

Rolling friction

Answer

Kinematic friction

Question 5

A heavy string attached at two ends at same horizontal level and when central dip is very small approaches the following curve

Accepted Answer

Parabola

Answer

Circular arc

Answer

Hyperbola

Answer

Elliptical

Question 6

The moment of inertia of a solid sphere of mass ‘m’ and radius ‘r’ is

Accepted Answer

$$\frac{{2{	ext{m}}{{	ext{r}}^2}}}{5}$$

Answer

$$\frac{{2{	ext{m}}{{	ext{r}}^2}}}{3}$$

Answer

$${	ext{m}}{{	ext{r}}^2}$$

Answer

$$\frac{{{	ext{m}}{{	ext{r}}^2}}}{2}$$

Question 7

Two bodies of masses m1 and m2 are hung from the ends of a rope, passing over a frictionless pulley as shown in the figure below. The acceleration of the string will be

Accepted Answer

$$\frac{{{	ext{g}}\left( {{{	ext{m}}_1} - {{	ext{m}}_2}} ight)}}{{{{	ext{m}}_1} + {{	ext{m}}_2}}}$$

Answer

$$\frac{{2{	ext{g}}\left( {{{	ext{m}}_1} - {{	ext{m}}_2}} ight)}}{{{{	ext{m}}_1} + {{	ext{m}}_2}}}$$

Answer

$$\frac{{{	ext{g}}\left( {{{	ext{m}}_1} + {{	ext{m}}_2}} ight)}}{{{{	ext{m}}_1} - {{	ext{m}}_2}}}$$

Answer

$$\frac{{2{	ext{g}}\left( {{{	ext{m}}_1} + {{	ext{m}}_2}} ight)}}{{{{	ext{m}}_1} - {{	ext{m}}_2}}}$$

Question 8

According to principle of transmissibility of forces, the effect of a force upon a body is

Accepted Answer

The same at every point in its line of action

Answer

Maximum when it acts at the center of gravity of a body

Answer

Different at different points in its line of action

Answer

Minimum when it acts at the C.G. of the body

Question 9

Which of the following is the example of lever of first order?

Accepted Answer

All of the above

Answer

Arm of man

Answer

Pair of scissors

Answer

Pair of clinical tongs