# Circus dog

A small circus dog walks on a rolling solid cylinder. The dog remains at a fixed height above the ground corresponding to the angle $$\theta= 30^{\circ}$$. If the mass of the cylinder is 4 times larger than the mass of the dog, find the acceleration $$a$$ of the cylinder's center of mass in m/s$$^2$$. Assume that the cylinder rolls without slipping.

Details and assumptions

• The acceleration of gravity is $$-9.8~\mbox{m/s}^2$$.
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