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Q.

A ball is rotating with the constant angular velocity at one end of a perfect string that is tightly tied (assume fixed) to a wooden bar at the other end. Its tangential velocity is as follows:

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a

Increase with time

b

Decrease with time
 

c

Will remain constant
 

d

Will decrease exponentially

answer is B.

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Detailed Solution

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Concept: The motion will force the string to wrap itself around the wooden bar because the other end of the string is attached to it.

As a result, the effective radius of the circular motion will be reduced. 

Tangential velocity v = ωr, the tangential velocity will decrease with time.


 

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A ball is rotating with the constant angular velocity at one end of a perfect string that is tightly tied (assume fixed) to a wooden bar at the other end. Its tangential velocity is as follows: