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Question

A car goes on a horizontal circular road of radius R, the speed increasing at a constant rate dvdt=a. The friction coefficient between the road and the tyre is μ. Find the maximum value of speed at which the car is safe to drive .

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Solution

Turning on a level road:
N=mg
fmV2R (so that the vehicle may not slip)
μmgmV2R
VμRg
Vmax=μRg

981626_694535_ans_14e89c3db8c645989cfbec7f1f89c544.PNG

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