- #1

- 464

- 0

## Homework Statement

Assume that the spring is initially compressed by a quantity x

_{0}from its equilibrium value at x=0. The particle is initially at x=-x

_{0}. The mass is released and when the particle crosses x=x

_{0}it detaches from the spring.

## Homework Equations

x''+γx'+ω

^{2}x=0

Another question asked to obtain the general solution for x(t), which I've done, but I don't think it's needed yet.

γ=0, therefore x''+ω

^{2}x=0

## The Attempt at a Solution

a)What is the total energy of the system.

This is E

_{tot}=KE+U. Since the spring is compressed and the mass isn't moving, it should all be potental. I'm not sure how to express this with what I am given though.

b) When the spring is released, what is the speed of the particle when it crosses x=0. I am not sure how to begin on this one. I would assume it is all kinetic since it is no longer attached to the spring. But again I am not sure how to express this either.