Applied Mechanics and Graphic Statics MCQs

Question 1

Lami's theorem states that

Accepted Answer

Three coplanar forces acting at a point will be in equilibrium, if each force is proportional to the sine of the angle between the other two

Answer

Three forces acting at a point 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, the point will be in the state of equilibrium

Answer

Three coplanar forces acting at a point will be in equilibrium if each force is inversely proportional to the sine of the angle between the other two

Question 2

The maximum frictional force which comes into play, when a body just begins to slide over the surface of a another body, is known

Accepted Answer

Limiting friction

Answer

Sliding friction

Answer

Rolling friction

Answer

None of these

Question 3

A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

Accepted Answer

2.5 m/sec

Answer

0.5 m/sec

Answer

1.5 m/sec

Answer

3.5 m/sec

Question 4

A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be

Accepted Answer

1.0 m/sec

Answer

Zero

Answer

0.5 m/sec

Answer

2.0 m/sec

Question 5

The units of inertia of mass are

Accepted Answer

kg-m2

Answer

kg/m

Answer

kg/m2

Answer

m4

Question 6

In the structure shown in below figure, the member which carries zero force, is

Accepted Answer

All the above

Answer

AB

Answer

BC

Answer

BE

Question 7

If two equal forces of magnitude P act at an angle $$	heta $$, their resultant, will be

Accepted Answer

$$2{	ext{P}}\cos \frac{	heta }{2}$$

Answer

$${	ext{P}}\cos \frac{	heta }{2}$$

Answer

$$2{	ext{P}}\sin\frac{	heta }{2}$$

Answer

$${	ext{P}}	an\frac{	heta }{2}$$

Question 8

A projectile is thrown at an angle ‘α’ to the horizontal with velocity ‘v’. It will have the maximum centripetal acceleration

Accepted Answer

At the start

Answer

At the top of the trajectory

Answer

As it strikes the ground

Answer

Elsewhere

Question 9

Varingon’s theorem of moment’s states

Accepted Answer

Algebraic sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point

Answer

Arithmetical sum of the moments of two forces about any point, is equal to the moments of their resultant about that point

Answer

Algebraic sum of the moments of two forces about any point, is equal to the moment of their resultant about that point

Answer

Arithmetical sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point