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A vehicle of mass m starts moving along a horizontal circle without slipping, so that centripetal

A vehicle of mass m starts moving along a horizontal circle without slipping, so that centripetal acceleration is

where b is constant. At t=to, the vehicle, skids. The friction on the car as function of time t(<to) is

Find the value of n.


Solution -

or

or

The required acceleration for vehicle is provided by friction

Therefore,

Hence, n=1 is the answer.


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