Applied Mechanics and Graphic Statics
Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of

One-third of the total height above base
One-half of the total height above base
None of these
One-fourth of the total height above base

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Applied Mechanics and Graphic Statics
The force acting on a point on the surface of a rigid body may be considered to act

On any point on the line of action of the force
On the periphery of the body
At any point on the surface normal to the line of action of the force
At the centre of gravity of the body

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Applied Mechanics and Graphic Statics
One end of an elastic string of natural length ‘l’ 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
A rectilinear motion with constant speed
None of these
A simple harmonic motion

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Applied Mechanics and Graphic Statics
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

Half the original velocity in the same direction
Half the original velocity in the opposite direction
Original velocity in the same direction
Original velocity in the opposite direction

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