- #1

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Hello there!

I have a situation as follows:

[PLAIN]http://img821.imageshack.us/img821/4026/kuglananagibu.gif [Broken]

I have to find the period of oscillation of the system. I've know how to set the equations for when solving the equations with forces, but am lost when trying to solve it with energy.

There is no friction between any of the surfaces.

My assumption is that there should be three energies interchanging here.

Rotationl energy of m (around the center of the circle with radius R)

[tex]W_{rot}=1/2 mR^2 \omega[/tex]

And translational energies of M and m.

[tex]W_{trans}=1/2 Mv^2 + 1/2m v^2\omega[/tex]

Any ideas where to go form here?

I have a situation as follows:

[PLAIN]http://img821.imageshack.us/img821/4026/kuglananagibu.gif [Broken]

I have to find the period of oscillation of the system. I've know how to set the equations for when solving the equations with forces, but am lost when trying to solve it with energy.

There is no friction between any of the surfaces.

My assumption is that there should be three energies interchanging here.

Rotationl energy of m (around the center of the circle with radius R)

[tex]W_{rot}=1/2 mR^2 \omega[/tex]

And translational energies of M and m.

[tex]W_{trans}=1/2 Mv^2 + 1/2m v^2\omega[/tex]

Any ideas where to go form here?

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