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A gramophone record is revolving with an angular velocity ω. A coin is placed at a distance r from the centre of the record. The static coefficient of friction is μ. The coin will revolve with the record if

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Important Questions on Circular Motion

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A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If banking angle is 45°, the maximum speed of car is g=10 m s-2:
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A car of mass m is moving on a level circular track of radius R. If μs represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by
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Two stones of masses m and 2m are whirled in horizontal circles, the heavier one in a radius r2 and the lighter one in radius r. The tangential speed of lighter stone is n times that of the value of heavier stone when they experience the same centripetal force. The value of n is,
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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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In the given figure, a=15 m s-2 represents the total acceleration of a particle moving in the clockwise direction in a circle of radius R=2.5 m at a given instant of time. The speed of the particle is

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A particle starts with angular acceleration 2 rad s-2. It moves 100 rad in a random interval of 5 sec. Find out the time at which random interval starts.
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One end of the string of length l is connected to a particle of mass m and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in a circle with speed v, the net force on the particle (directed towards the centre) will be (T represents the tension in the string)
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A wheel has a constant angular, acceleration of 3.0 rad s-2. During a certain 4.0 s interval, it turns through an angle of 120 rad. Assuming that at t=0, angular speed ω0=3 rad s-1 how long, is motion at the start of this 4.0 s interval?