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A triangular plate with a non-uniform areal density has a mass M=0.700 kg. It is suspended by a pivot at P and can oscillate as indicated below. Its center of mass is a distance d=0.200 m from the pivot axis and its moment of inertia about an axis through the CM and parallel to the pivot axis is ICM=5.60×10-3 kg m2.

The plate is released from an angle θ=15°. Calculate the period the oscillations.

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