A body executing SHM makes 100 vibrations/min if the speed at the mean position is `15ms^(-1)`, calculate its path length. What is its velocity when it is half way be tween its mean position and extreme position?

A particle performing S.H.M., its velocity when the particle moves from mean to extreme position is

A body of mass 5 kg executes SHM of amplitude 0.5m. If the force constant be 100 Nm^(-1) , calculate its kinetic energy, potential energy and total energy when it is half way between the equilibrium and extreme positions.

What is the relation between the potential energy and total energy (E ) of a particle performing a S.H.M., when it is at half way between the mean and extreme positions ?

A body executes SHM , such that its velocity at the mean position is 1ms^(-1) and acceleration at exterme position is 1.57 ms^(-2) . Calculate the amplitude and the time period of oscillation.

The velocity of the bob of a simple pendulum in the mean position is v. If its amplitude is doubled, by keeping the same length, then its velocity in the mean position will be

A particle executes S.H.M. of 2 cm. At the extreme position, the force is 4 N. What is the force at a point midway between mean and extreme positions ?

A bob of mass 0.1 kg hung from the ceilling of a room by a string 2 m long is set into osillation The speed of the bob at its mean position 1 m//s What is the trajectory of the bob if the string is cut when the bob is (a) at one of its extreme position (b) at is mean position ?

A particle performing linear S.H.M. has a period of 6.28 seconds and a path length of 20 cm. What is the velocity when its displacement is 6 cm from mean position ?

A particle executing SHM completes 1200 oscillations per minute and passes through the mean position with a velocity of 31.4ms^(-1) . Determine the maximum displacement of the particle from the mean position also obtain the displacement equation of the aprticle if its displacemet be zero at the instant t=0.

A body is executing SHM with an amplitude of 0.1 m. Its velocity while passing through the mean position is 3ms^(-1) . Its frequency in Hz is