The potential energy of a long spring when stretched by 2 cm is U.  If the spring is stretched by 8 cm the potential energy stored in it is

A particle executing S.H.M has amplitude 0.01 m and frequency 60 Hz. The maximum acceleration of the particle is

A simple pendulum hangs from the ceiling of a car.  If the car accelerates with uniform acceleration, the frequency of the simple pendulum will

The displacement x (in metres) of a particle performing S.H.M is related to time t (in second) as :

A wave has SHM (simple harmonic motion) whose period is 4 s while another wave which also possesses SHM has its period 3 s.  If both are combined, then the resultant wave will have the period equal to

A particle executes simple harmonic motion of amplitude A.  At what distance from the mean position its kinetic energy is equal to its potential energy ?

A point performs simple harmonic oscillation of period T and the equation of motion is given by
After the elapse of what fraction of the time period the velocity of the point will be equal to half of its maximum velocity ?

A body is vibrating in S.H.M. with an amplitude of 0.06 m and frequency of 15 Hz. The maximum velocity and acceleration of the body are

Frequency of a simple pendulum in a freely falling lift is

A simple pendulum with a bob of mass m oscillates from A to C and back to A [See Fig.25.26] such that PB is H.  If the acceleration due to gravity is g then velocity of the bob as it passes through B is