# Simple Harmonic Motion questions

1. Sep 15, 2008

I have a test soon and I don't get this topic!

Here are two questions I'm having trouble with:

1. A simple harmonic oscillator has total energy of E.
a) Determine the kinetic and potential energies when the displacement is (1/2)A. A = amplitude.
b) For what value of displacement does the kinetic energy equal the potential energy?

2. Please refer to this picture:

A cart of mass 3 kg is held between two stretched springs as shown. A force of 60N moves the cart 0.10m from its equilibrium position. It's then released and allowed to vibrate.
a) How much work was required to move the cart 0.1m?
b) Calculate the frequency of the vibration.
c) What is the velocity of the cart as it moves through the equilibrium position?

I'm not asking for you to do my hw. I just really don't understand the equations and when to use them and how they're derived.

2. Sep 16, 2008

### Feldoh

Do you know the equations for a 1D oscillator? Position is derived from a simple second order differential equation. From there we just take the derivatives to obtain velocity and acceleration.

What specifically don't you understand about the equations?

3. Sep 16, 2008

I take highschool physics, which is non-calculus.

4. Sep 16, 2008

### Feldoh

Well then it's going to be hard to explain how the equations are derived. Do you know any calculus?

5. Sep 16, 2008