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!
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.