A particle is executing S.H.M of amplitude 4 cm and T = 4 sec.  The time taken by it to move from positive extreme position to half the amplitude is

A horizontal surface moves up and down in S.H.M with an amplitude of 1 cm.  If mass of 10 kg (which is placed on the surface) is to remain continuously in contact with it, the maximum frequency of S.H.M. will be

A simple pendulum with a bob of mass m oscillates from A to C and back to A [See Fig.] 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 particle starts S.H.M from the mean position.  Its amplitude is A and time period is T.  At the time its speed is half of the maximum speed.  Its displacement y from the mean position is

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