A Uniform,solid,100-Kg Cylinder with a Diameter of 1

A uniform,solid,100-kg cylinder with a diameter of 1.0 m is mounted so it is free to rotate about fixed,horizontal,frictionless axis that passes through the centers of its circular ends.A 10-kg block is hung from a very light thin cord wrapped around the cylinder's circumference.When the block is released,the cord unwinds and the block accelerates downward,as shown in the figure.What is the acceleration of the block?

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