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A car of mass negotiates a banked curve of radius on a frictionless road. If banking angle is , the maximum speed of car is

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Important Questions on Circular Motion
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IMPORTANT
A car of mass is moving on a level circular track of radius . If represents the static friction between the road and tyres of the car, the maximum speed of the car in circular motion is given by

MEDIUM
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Two stones of masses and are whirled in horizontal circles, the heavier one in a radius and the lighter one in radius . The tangential speed of lighter stone is times that of the value of heavier stone when they experience the same centripetal force. The value of is,

HARD
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A car is negotiating a curved road of radius . The road is banked at an angle . The coefficient of friction between the tyres of the car and the road is . The maximum safe velocity on this road is

EASY
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In the given figure, represents the total acceleration of a particle moving in the clockwise direction in a circle of radius at a given instant of time. The speed of the particle is

MEDIUM
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A particle starts with angular acceleration . It moves in a random interval of . Find out the time at which random interval starts.

EASY
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IMPORTANT
One end of the string of length is connected to a particle of mass and the other end is connected to a small peg on a smooth horizontal table. If the particle moves in a circle with speed , the net force on the particle (directed towards the centre) will be ( represents the tension in the string)

MEDIUM
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A wheel has a constant angular, acceleration of . During a certain interval, it turns through an angle of . Assuming that at , angular speed how long, is motion at the start of this interval?

MEDIUM
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IMPORTANT
Keeping the angle of banking of the road constant, the maximum speed of the vehicles is to be increased by . The radius of curvature of the road will have to be changed from to
