APPLIED MECHANICS AND GRAPHIC STATICS QUIZ

The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to

Original velocity in the opposite direction

Half the original velocity in the opposite direction

Original velocity in the same direction

Half the original velocity in the same direction

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One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is

a damped oscillatory motion

None of these

a simple harmonic motion

a rectilinear motion with constant speed

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Impulse can be obtained from a

Force-time diagram

Velocity-displacement diagram

Force-displacement diagram

Velocity-time diagram

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A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is

1.0 m

0.5 m

1.5 m

0.75 m

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The characteristic of a couple is:

Algebraic sum of forces, constituting a couple is zero

Algebraic sum of moments of forces, constituting a couple, about any point, is same

All listed here

A couple can be never the balanced by a single force

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Lami's theorem states that

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

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

Three forces acting at a point are always in equilibrium

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

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Force polygon method is applicable for

Any coplanar force system

A system of parallel forces only

Non-concurrent coplanar force system

Concurrent coplanar force system

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Power developed by a torque, is

2πNT /60 watts

2πNT kg m/min

All listed here

2πNT/4500 h.p

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A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2A, the energy becomes

E/2

4E

2E

E

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

As it strikes the ground

At the top of the trajectory

Elsewhere

At the start

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