A string of length 0.5 m carries a bob at its end. If this is to be used as a conical pendulum of period `0.4pis`. Calculate the angle of inclination of the string with the vertical.

A pendulum consisting of a massless string of length 20 cm and a tiny bob of mass 100 g is st up as a conical pendulum. Its bob now performs 75 rpm. Clculate kinectic energy and increase in the gravitational potential energy of the bob.

A simple pendulum is suspended from the roof of a train . If the train is moving with an acceleration 49 cm/s^2 . Then the angle of inclination of the string about the vertical will be

Find the length of a simple pendulum whose time period is same as at of a conical of length L and an angle 0 with vertical.

A string of length 2 m is fixed at both ends. If this string vibrates in its fourth normal mode with a frequency of 500 Hz then the waves wouldf travel on it is with a velocity of

A pendulum consisting of a small sphere of mass m, suspended by an inextensible and massless string of length 1, is made to swing in a vertical plane. If the breaking strength of the string is 2 mg, then the maximum angular amplitude of the displacement from the vertical can be

A body of mass m hangs at one end of a string of length l , the other end of which is fixed. It is given a horizontal velocity so that the string would just reach where it makes an angle of 60^(@) with the vertical. The tension in the string at mean position is

A stone of mass 1kg tied to a light inextensible string of length L=10m is whirling in a circular path of radius L in vertical plane. If the ratio of the maximum tension in the string to the minimum tension in the string is 4 and if g is taken to be 10ms^(-2) , the speed of the stone at the highest point of the circle is.

A particle of mass 0.5 kg executes SHM. If its period of oscillation is pi seconds and total energy is 0.04 J , then the amplitude of oscillation will be