A uniform cylinder of mass \( M \) and radius \( R \) has a string ...

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A uniform cylinder of mass \( M \) and radius \( R \) has a string wrapped around it. The string is held fixed and the cylinder falls vertically, as in figure.
(a) Show that the acceleration of the cylinder is downward with magnitude \( a=\frac{2 g}{3} \).
(b) Find the tension in the string.
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