Applied Mechanics and Graphic Statics MCQs

Question 1

A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

Accepted Answer

1.0 m/sec

Answer

0.5 m/sec

Answer

1.5 m/sec

Answer

2.5 m/sec

Question 2

The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by

Accepted Answer

3 : 1

Answer

1 : 2

Answer

1 : 1

Answer

2 : 1

Question 3

Newton's law of Collision of elastic bodies states that when two moving bodies collide each other, their velocity of separation

Accepted Answer

Bears a constant ratio to their velocity of approach

Answer

Is directly proportional to their velocity of approach

Answer

Is inversely proportional to their velocity of approach

Answer

Is equal to the sum of their velocities of approach

Question 4

A quantity measured in the C.G.S system of units has dimensions M”2L3 T3/2. What numerical factor would be required to convert the quantity to SI units ?

Accepted Answer

1

Answer

100

Answer

1/100

Answer

1/10000

Question 5

The necessary condition of equilibrium of a body is:

Accepted Answer

All (A), (B) and (C)

Answer

Algebraic sum of horizontal components of all the forces must be zero

Answer

Algebraic sum of vertical components of all the forces must be zero

Answer

Algebraic sum of the moments of the forces about a point must be zero

Question 6

The resolved part of the resultant of two forces inclined at an angle θ in a given direction is

Accepted Answer

Algebraic sum of the resolved parts of the forces in the direction

Answer

Arithmetical sum of the resolved parts of the forces in the direction

Answer

Difference of the forces multiplied by cosine θ°

Answer

Sum of the forces multiplied by the tangent θ°

Question 7

When a body moves round a fixed axis, it has

Accepted Answer

A circular motion

Answer

A rotary motion

Answer

A translatory

Answer

A rotary motion and translatory motion

Question 8

Time of flight of a projectile on a horizontal plane, is

Accepted Answer

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

Answer

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

Answer

$$\frac{{2{	ext{u}}	an \alpha }}{{	ext{g}}}$$

Answer

$$\frac{{2{	ext{u}}\cot \alpha }}{{	ext{g}}}$$

Question 9

If the velocity of projection is 4 m/sec and the angle of projection is $${\alpha ^ \circ }$$, the maximum height of the projectile from 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

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

Answer

$$\frac{{{{	ext{u}}^2}\sin2\alpha }}{{2{	ext{g}}}}$$