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Workign with a simple pendulum - rotation

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For small angular displacements , the period of a pendulum is

Where I is the moment of inertia of the physical pendulum about the axis of rotation, m the mass of the pendulum and d the distance from the axis of rotation to the center of mass of the physical pendulum.
If we consider large angular swings of the pendulum we can calculate the period of swings starting from ...

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