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 hollow sphere filled with water forms the bob of a simple pendulum.  A small hole at the bottom of the bob allows the water to slowly flow out as it is set into small oscillations and its period of oscillations is measured.  The time period will

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

If a simple harmonic oscillator has got a displacement of 0.02 m and acceleration equal to 2.0m/s² at any time, the angular frequency of the oscillator is equal to

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 mass m is suspended from a spring of negligible mass and the system oscillates with a frequency n.  What will be the frequency of oscillations if a mass of 4 m is suspended from the same spring ?

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