ENGINEERING MECHANICS QUIZ

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

mr²

2mr²/3

mr²/2

2mr²/5

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A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where, M = Mass of the body, and S = Sum of the squares of the two semi-axes.)

None of these

MS/5

MS/3

MS/4

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YOUR ANSWER : ?

Which is the correct statement about law of polygon of forces?

If a polygon representing forces acting at a point is closed then forces are in equilibrium

If any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon taken in order, then the forces are in equilibrium

If any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon, then the forces are in equilibrium

If any number of forces acting at a point can be represented by the sides of a polygon taken in order, then the forces are in equilibrium

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Tension in the cable supporting a lift is more when the lift is moving __________ with an acceleration.

Upwards

Downwards

None of these

Horizontal

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Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the width (b), is

bd³/36

db³/36

db³/12

bd³/12

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One joule means that

Work is done by a force of 1 kg when it displaces a body through 1 m

Work is done by a force of 1 N when it displaces a body through 1 m

Work is done by a force of 1 dyne when it displaces a body through 1 cm

Work is done by a force of 1 g when it displaces a body through 1 cm

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YOUR ANSWER : ?

The point, through which the whole weight of the body acts, irrespective of its position, is known as

Center of percussion

Center of mass

Moment of inertia

Center of gravity

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The range of a projectile is maximum, when the angle of projection is

90°

30°

45°

60°

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The force required to move the body up the plane will be minimum if it makes an angle with the inclined plane __________ the angle of friction.

Less than

None of these

Greater than

Equal to

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The overturning of a vehicle on a level circular path can be avoided if the velocity of vehicle is __________ √(gra/h)

Equal to

Less than

None of these

Greater than

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