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polarcheese

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## Homework Statement

Determine the equation of motion and the natural frequency of vibration for A uniform cylinder of mass M, rolling without slipping on a horizontal plane and constrained by a spring of stiffness K, as shown.

http://img638.imageshack.us/img638/613/cylinder.png

**2. The attempt at a solution**

So I am now in full on revision mode, and I have the worked solutions to the problem:

http://img571.imageshack.us/img571/9987/cylinder1.png

Although I can follow most of the solution, I don't understand why the spring extends by 2x if the centre moves by x?

Thanks very much

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