Motion in a Vertical Circle

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Advanced Knowledge of Motion in a Vertical Circle With String

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Motion in a Vertical Circle - Problems L1

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Important Questions

A stone tied to string of length is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time the stone is at its lowest position and has a speed . The magnitude of the change in velocity as it reaches a position, where the string is horizontal is

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A hollow sphere has radius . Minimum velocity required by a motor cyclist at bottom to complete the circle will be

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Discuss the motion in vertical circle. Find an expression for the minimum velocities at the lowest point and top point. Also find tension at these points?

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What is the minimum velocity with which a body of mass must enter a vertical loop of radius so that it can complete the loop?

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A bob of mass m is suspended by a light string of length L. It is imparted a horizontal velocity  at the lowest point A such that it completes a semi-circular trajectory in the vertical plane with the string becoming slack only on reaching the topmost point, C. This is shown in Fig. 6.6. Obtain an expression for (i) ; (ii) the speeds at points B and C; (iii) the ratio of the kinetic energies at B and C. Comment on the nature of the trajectory of the bob after it reaches the point C.

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A pendulum bob has a speed while passing through its lowest position, length of the pendulum is then its speed when it makes an angle of with the vertical is

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A cane filled with water is revolved in a vertical circle of radius metre and the water just does not fall down. The time period of revolution will be:

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A weightless thread can withstand tension upto . A stone of mass is tied to it and is revolved in a circular path of radius in a vertical plane. If , then the maximum angular velocity of the stone will be

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A stone attached to one end of a string is whirled in a vertical circle. The tension in the string is maximum when

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A stone of mass is tied to the end of a string of length. It is whirled in a vertical circle. If the velocity of the stone at the top be . What is the tension in the string (at that instant)?

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