A body is executing S.H.M When its displacement from the mean position is 4 cm and 5 cm, the corresponding velocities are 10 cm/sec and 8cm/sec.  Then time period of the body is

In a simple harmonic motion, if the displacement is half of the amplitude, then which part of total energy will be kinetic energy ?

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 mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure.  The mass of the spring and the pan is negligible.  When pressed slightly and released the mass executes a simple harmonic motion.  The spring constant is 200 N/m.  What should be the minimum amplitude of the motion, so that the mass gets detached from the pan ?
(Take g =10m/s² )

Frequency of a simple pendulum in a freely falling lift is

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 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

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 ?

Two simple pendulums having lengths 0.5 m and 2.0 m are displaced linearly a little at the same time.  They will be in the same phase when shorter pendulum completes oscillations equal to

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