A spool is free to rotate about a fixed axis, and a string

Chapter , Problem 21

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A spool is free to rotate about a fixed axis, and a string wrapped around the axle of the spool causes the spool to rotate in a counterclockwise direction (Figure 9-42a). However, if the spool is set on a horizontal tabletop, the spool instead (given sufficient frictional force between the table and the spool) rotates in a clockwise direction and rolls to the right (Figure 9-42b). By considering torque about the appropriate axes, show that these conclusions are both consistent with Newtons second law for rotations.

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