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Question

Consider the following two statements A and B and identify the correct choice.

A) When a body is rotated along a vertical circle with uniform speed then the sum of its kinetic energy and potential energy is constant at all positions

B) To make a body to move along a vertical circle, its critical speed at any point is independent of mass of body

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Solution

The correct option is **B** A is false but B is true

When a body is rotated in a vertical circle with uniform speed its kinetic energy is constant because of uniform speed. Its potential energy changes because of change in height. Hence the sum of P.E + K.E won't be same.

To make a body moving in a vertical circle the critical velocity at a point is independent of mass. Critical velocity for bottommost point is sqrt(5rg).

When a body is rotated in a vertical circle with uniform speed its kinetic energy is constant because of uniform speed. Its potential energy changes because of change in height. Hence the sum of P.E + K.E won't be same.

To make a body moving in a vertical circle the critical velocity at a point is independent of mass. Critical velocity for bottommost point is sqrt(5rg).

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