A light elastic string of natural length 1.6m has modulus of elasticity 100N. One end of the string
is attached to a fixed point. A particle of mass 4 kg is attached to the other end. Find the extension,
e metres, of the string when the particle hangs freely in equilibrium at E.[2]
When the particle is in equilibrium at E, it is given a blow of impulse 20Ns vertically downwards.
Show that, while the string remains taut, the motion of the particle is simple harmonic, and find the
period and amplitude of this simple harmonic motion. [8]
Find also the time that elapses between the blow and the instant when the string first becomes slack.
[4]
The first part is easy to get... but i am having difficulties in the subsequent parts... please help