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

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 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 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 simple pendulum hangs from the ceiling of a car.  If the car accelerates with uniform acceleration, the frequency of the simple pendulum will

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

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 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 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 ?