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 θ=30\theta= 30^{\circ}. If the mass of the cylinder is 4 times larger than the mass of the dog, find the acceleration aa of the cylinder's center of mass in m/s2^2. Assume that the cylinder rolls without slipping.

Details and assumptions

  • The acceleration of gravity is 9.8 m/s2-9.8~\mbox{m/s}^2.
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