When a damped harmonic oscillator completes 100 oscillations, its amplitude is reduced to of its initial value.  What will be its amplitude when it completes 200 oscillations ?

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 system exhibiting S.H.M. must possess:

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 the time period of the body will be:

Two simple harmonic motions given by,
act on a particle simultaneously, then the motion of particle will be

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:

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 rectangular block of mass m and the area of cross-section A floats in a liquid of density .If it is given a small vertical displacement from equilibrium it undergoes oscillation with a time period T. Then:

A particle starts simple harmonic motion from the mean position.  Its amplitude is a and time period is T.  What is its displacement when its speed is half of its maximum speed ?

A particle is subjected to two mutually perpendicular simple harmonic motions such that is x and y coordinates are given by 


      The path of the particle will be: