A mass attached to a spring is free to oscillate, with angular velocity `omega`, in a horizontal plane without friction or damping. It is pulled to a distance `x_(0)` and pushed towards the centre with a velocity `v_(0)` at time `t=0`. Determine the amplitude of the resulting oscillations in terms of the parameters `ometa, x_(0)and v_(0)`.

A mass attached to a spring is free to oscillate, with angular velocity omega , in a horizontal plane without friction or damping. It is pulled to a distance x_0 and pushed towards the centre with a velocity v_0 at time t = 0. Determine the amplitude of the resulting oscillations in terms of the parameters omega , x_0and v_0 .

A mass attached to a spring is free to oscillate, with angular velocity omega , in a horizontal plane without friction or damping. It is pulled to a distance x_0 and pushed towards the centre with a velocity v_0 at time t=0. Determine the amplitude of the resulting oscillaters omega, x_(0)" and "v_(0) . [Hint : Start with the equation x= a cos (omega t+theta) and note that the initial velocity is negative.]

A mass attached to a string rotates about a fixed centre with an angular velocity omega in a horizontal plane ,The length of the string and the angular velocity are now doubled .IF T_(0) is the initial tension in the string , then the new tension will be

If amplitude of velocity is V_0 then the velocity of simple harmonic oscillator at half of the amplitude is

If amplitude of velocity is V_0 then the velocity of simple harmonic oscillator at half of the amplitude is