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A long horizontal rod has a bead which can slide along its length, and initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A with constant angular acceleration α. If the coefficient of friction between the rod and the bead is μ, and gravity is neglected, then the time after which the bead starts slipping is

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Important Questions on Circular Motion

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On the centre of a frictionless table, a small hole is made, through which a weightless string of length 2l is inserted. On the two ends of the string, two balls of the same mass m are attached. The arrangement is made in such a way that half of the string is on the table top and half is hanging below. The ball on the table top is made to move in a circular path with a constant speed v. What is the centripetal acceleration of the moving ball?
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A car sometimes overturns while taking a turn. When it overturns, it is
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A cyclist taking turn bends inwards while a car passenger taking the same turn is thrown outwards. The reason is
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A train is moving towards the north. At one place, it turns towards north-east. Here, we observe that
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A car is travelling on a circular banked road. The centripetal acceleration of a car is provided by
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A car is negotiating a curved road of radius R. The road is banked at an angle θ. The coefficient of friction between the tyres of the car and the road is μs. The maximum safe velocity on this road is
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A body is moving in a circular orbit with static friction 0.2. If radius through which the body revolves is 100 m and g=9.8 m s-2, then the maximum speed with which body revolved is