The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of results in the displacement of the particle along:

Which one of the following is a simple harmonic motion ?

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:

Two springs of constants k₁ and k₂ have equal maximum velocities when executing simple harmonic motion.  The ratio of their amplitudes (the masses are equal) will be:

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 )

A system exhibiting S.H.M. must possess:

Two springs A and B (k_A =3k_B )are stretched by the same suspended weight.  Then the ratio of work done in stretching is:

A particle is executing S.H.M. with an amplitude of 4 cm and the  time period 12 seconds.  The time taken by the particle in going 2 cm from the mean position is T₁ seconds.  The time taken from this displaced position to reach the extreme position on the same side is T₂ seconds. Then T₁ /T₂ will be:

A particle of mass 10 g is executing S.H.M, with an amplitude of 0.5 m and periodic time of second.  The maximum value of force acting on the particle is: