A particle vibrates in SHM along a straight line.Its greatest acceleration is `5 pi^(2)cms^(-2)` and when its distance from the equilibrium position is 4cm ,the velocity of the particle is `3 pi cms^(-1)`

A particle describes SHM along a straight line with a period of 2 s and amplitude 10 cm. Its velocity when it is at a distance of 6 cm from mean position is

A particle starts from the origin with a velocity of 2cm/s and moves along a straight line.If the acceleration of the particle at a distance xcm from the origin be (2x-(3)/(2))(cm)/(s^(2)), find the velocity of the particle at a distance 7cm from the origin.

A particle executes SHM along a straight line so that its period is 12 s. The time it takes in traversing a distance equal to half its amplitude from its equilibrium position is

A particle executes SHM in a straight line path .The amplitude of oscillation is 2cm . When the displacement of the particle from the mean position is 1cm the numerical value of acceleration is equal to the numerical value of velocity. Then find the frequency of SHM .

A partical executes SHM on a straigh line path. The amplitude of oscillation is 2cm. When the displacement of the particle from the mean position is 1cm, the magnitude of its acceleration is equal to that of its velocity. Find the time period of SHM, also the ms. velocity and ms. acceleration of SHM.

A particle executes SHM on a straight line path. The amplitude of oscillation is 2cm . When the displacement of the particle from the mean position is 1cm , the numerical value of magnitude of acceleration is equal to the mumerical value of velocity. Find the frequency of SHM (in Hz ).

A particle of mass 10 gm is describing S.H.M. along a straight line with period of 2 sec and amplitude of 10 cm . Its kinetic energy when it is at 5 cm from its equilibrium position is

A particle executing SHM along a straight line has a velocity of 4ms^(-1) , and at a distance of 3m from its mean position and 3ms^(-1) , when at a distance of 4m from it. Find the time it take to travel 2.5m from the positive extremity of its oscillation.

A particle is performing SHM with amplitude 2 cm. At what distance from the equilibrium position is its energy half potential ? What is the maximum velocity of the particle if the frequency of its oscillation is 50 Hz.