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Clock Pendulum and Mass Pivot Point

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Please see the attached file for diagram.

A designer wishes to make a clock with a pendulum in the shape of a flat disk. Instead of swinging from the end of a rod, however, the disk is to pivot about a point between its center of mass and its rim.

If the disk has a radius of 15.0 cm and its intended period of oscillation is 1.0 s, where should the pivot point of the pendulum be? Specify its distance from the center of mass of the disk.

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