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When a hard object is suspended from an axis and made to oscillate about that, then it is called compound pendulum.
C = Initial position of center of mass
C' = Position of origin of mass after time t
S = Point of suspension
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= Displacement between point of suspension and center of mass (it remains constant during motion)
Where = moment of inertia relative to the axis which passes from the center of mass & parallel to the axis of oscillation.
Where Icm=mk2; k = gyration radius (axis passes from centre of mass)
= equivalent length of simple pendulum; T is minimum when l=k
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