An oversized yo-yo is made from two identical solid disks each ofmass M = 1.70 k

Question

An oversized yo-yo is made from two identical solid disks each ofmass M = 1.70 kg andradius R = 11.3 cm. The two disks are joined by a solidcylinder of radius r= 4.00 cm andmass m = 1.00 kg as in the figure below. Takethe center of the cylinder as the axis of the system.
The questions asks for thetranslational acceleration in terms of M, m, g, r, and R. I dontknow how to find acceleration without velocity OR distance OR time,so I'm not even sure where to start solvingthis.
The questions asks for thetranslational acceleration in terms of M, m, g, r, and R. I dontknow how to find acceleration without velocity OR distance OR time,so I'm not even sure where to start solvingthis.

Explanation / Answer

R = 0.113 m r = 0.04 m First find the moment of inertia of the yo-yo: I = I = 2 x (1/2)MR2 + (1/2)mr2 =MR2 + mr2 = r F The force is just the weight of the yo-yo = r(M + m) Newton's second law for rotating bodies = I r(M + m) = (MR2 + mr2) Solve for . a = r will give the translational acceleration.

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