Given that the equation of motion of a mass is `x = 0.20 sin (3,0 t) m` . Find the velocity and acceleration of the mass when the object is `5 cm` from its equilibrium position. Repeat for `x = 0`.

The equation of motion of a body performing S.H.M. is , x = 7 sin [ 3 (pi)t + pi/6] cm. Find its acceleration.

The equation of motion of a body performing S.H.M. is , x = 7 sin [ 3 (pi)t + pi/6] cm. Find its velocity

A mass of 0.5 kg is hung from a spring. A gradually increasing 0.5 N force is required to pull the mass downward a distance of 0.25 m from its equilibrium position,if the mass is then released from this position, find (a) The total energy of the system . (b) The frequency of the oscillation (c ) The speed and acceleration of the mass as it passes the equilibrium position. (d) The speed and acceleration of the mass when the diplacement from equilibrium is 0.25 m (e) For the initial condition stated, write down the diplacement equation of motion for this mass.

A mass of 0.5 kg is hung from a spring. Agradually increasing 0.5 N force is reuired topull the mass downward a distance of 0.25 m from its equilibrium position,if the mass s then released from this position, find (a) The total energy of the system . (b) The frequency of the oscillation (c ) The speed and acceleration of the mass as it passes the equilibrium position. (d) The speed and acceleration of the mas when the diplacement from equilibrium is 0.25 m (e) For the initial condition stated, write down the diplacement equation of motion for this mass.

A body is in simple harmonic motion with time period T = 0.5 s and amplitude A = 1 cm. Find the average velocity in the interval in which it moves from equilibrium position to half of its amplitude.

A body is in simple harmonic motion with time period T = 0.5 s and amplitude A = 1 cm. Find the average velocity in the interval in which it moves from equilibrium position to half of its amplitude.

The displacement x of a particle varies with time 't' as, x=3t^(2)-4t+30. Find the position, velocity and acceleration of the particle at t = 0.

The equation for the displacement of a particle executing SHM is y={5 sin pi t}cm . Find the velocity at 3cm from the mean position, acceleration after 0.5 s after leaving the mean position.