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# Further Mechanics question..help needed watch

1. A light elastic string of natural length 1.6 m has modulus of elasticity 100 N. One end of the stringis 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 20 N s vertically downwards.Show that, while the string remains taut, the motion of the particle is simple harmonic, and find theperiod 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]
2. (Original post by brocode)
A light elastic string of natural length 1.6 m has modulus of elasticity 100 N. One end of the stringis 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 20 N s vertically downwards.Show that, while the string remains taut, the motion of the particle is simple harmonic, and find theperiod 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]

3. Im sorry, was about to post my working.

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4. (Original post by brocode)
Im sorry, was about to post my working.

the amplitude is the distance from the point of zero speed to the centre of the oscillation

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