A simple pendulum is swinging in a vertical plane.The ratio of its potential energies when it is making angles `30^(@)` and `60^(@)` with the vertical is

A simple pendulum is swinging vertical plane. The ratio of its potential energy when it is making 45^(@) and 90^(@) with the vertical is

The bob of a 0.2 m pendulum describes an arc of circle in a vertical plane. If the tension in the cord is sqrt3 times the weight of the bob when the cord makes an angle 30^(@) with the vertical, the acceleration of the bob in that position is

When the string of a conical pendulum makes an angle of 45^(@) with the vertical , its time is T_(1) when the string makes an angle of 60^(@) with the vertical , its time period is T_(2) then T_(1)^(2) // T_(2)^(2) is

Consider a simple pendulam of length 1 m. Its bob performs a circular motion is horizontal plane with its string making an angle 60^@ with the vertical. The centripetal accleration experienced by the bob is

The bob of a 0.2 m pendulum describs an arc of circle in a vertical plane. If the tension in the cord is sqrt(3) times the weight of the bob when the cord makes an angle 30^(@) with the vertical, the acceleration of the bob in that position is g//n . Find value of n .

A small body of mass m = 0.1 kg swings in a vertical circle at the end of a chord of length 1 m. Its speed is 2 m/s when the chord makes an angle theta = 30^(@) with the vertical. Find the tension in the chord.

A nail is located at a certain distance vertically below the point of suspension of a simple pendulum. The pendulum bob is released from a position where the string makes an angle of 60^(@) with the vertical. Calculate the distance of nail from the point of suspension such that the bob will just perform revolutions with the nail as centre. Assume the length of the pendulum to be one meter.

A pendulum bob is swinging in a vertical plane such that its angular amplitude is less than 90^(@) . At its highest point, the string is cut. Which trajectory is possible for the bob afterwards ?

A simple pendulum is set up in a trolley which moves to the right with an acceleration a on a horizontal plane. Then the thread of the pendulum in the mean position makes an angle theta with the vertical