Simple Harmonic Motion with Impulse

1. Feb 18, 2012

conorordan

1. The problem statement, all variables and given/known data

A particle P of mass 0.6kg is attached to one end of a light elastic spring of modulus of elasticity 72N and natural length 1.2m.
The other end of the spring is fixed to a point A on the smooth horizontal table on which P rests. Initially P is at rest and is 1.2m from A.
The particle receives an impulse of 3Ns in the direction AP.
Given that t seconds after the impulse the displacement of P from its initial position is x metres.

Find an equation for x in terms of t

2. Relevant equations

Tension in a spring, $T = \frac{\lambda x}{l}$

3. The attempt at a solution

I know the answer will be in the form x=asin(ωt) and I am competent with finding the period etc but it is the impulse that is throwing me off.

2. Feb 18, 2012

SammyS

Staff Emeritus
The impulse will give the mass an (almost) instant momentum.