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## Homework Statement

i have a bead on a wire shaped by y=cx^2 where y is the height - use conservation of energy to show that the system unfergoes simple harmonic motion. - no friction!

## Homework Equations

I think to prove its SHM i need to get an equation in the form acc= - w^2 x

## The Attempt at a Solution

KE + PE = A constant

1/2mv^2 + mgh = A constant

1/2mv^2 + mgcx^2 = A constant

... is this right? i am pretty sure i need it in the above form them from that i know what w is and can work out the period of this moyion.