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_(0) and v_(0). [Hint : Start with the equation x = a cos (omegat+theta) and note that the initial velocity is negative.]

A mass attached to a spring is free to oscillate, with angular velocit

1.	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_(0) and v_(0). [Hint : Start with the equation x = a cos (omegat+theta) and note that the initial velocity is negative.]
Answer» SOLUTION :`sqrt((x_(0)^(2)+(v_(0)^(2))/(OMEGA^(2))))`