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 simple pendulum is executing simple harmonic motion with a time period T.  If the length of the pendulum is increased by 21%, the increase in the time period 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

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 particle is performing simple harmonic motion along x axis with amplitude 4 cm and time period 1.2 sec.  The minimum time taken by the particle to move from x = + 2 cm to x = + 4 cm and back again is

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

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

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