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 )

Frequency of a simple pendulum in a freely falling lift is

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

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

A simple pendulum is executing simple harmonic motion with a time period T.  If the length of the pendulum is increased by 21%, the increase in the time period 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 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 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 simple pendulum hangs from the ceiling of a car.  If the car accelerates with uniform acceleration, the frequency of the simple pendulum will