physics

A yo-yo with mass M and radius R is wound with a light string. Someone drops it from rest with the string attached to a metal pole. The yo-yo falls and unwinds (spins) without slipping. The moment of inertia for the yo-yo is ½ MR^2 (a disk).

a. In terms of g, find the downward acceleration of the center of mass of the yo-yo as it unrolls from the string.

b. What is the tension in the string as the disk unwinds and falls?

c.While descending, does the center of mass of the yo-yo move to the left, the right, or straight down? Explain your answer in complete sentences.

I think straight down, but why?

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