A car is moving along a hilly road as shown (side view). The coefficient of static friction between the tyres and pavement is constant and the car maintains a steady speed. If, at one of the points shown the driver applies the brakes as hard as possible without making the tyres slip, the magnitude of the frictional force immediately after the brakes are applied will be maximum if the car was at:
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At A & B, N = mg – mv2/R
& at C, N = mg + mv2/R
fmax = μsN ⇒ maximum for C
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