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Basic Physics
Oscillations and periodic motion
Physical pendulum

12. Oscillations and periodic motion

Physical pendulum

In 12. Oscillations and periodic motion

Formula

\omega=\sqrt{\frac{mgd}{I}}

Equivalent form

T=2\pi\sqrt{\frac{I}{mgd}}

Tags

physics
physics formula
SHM
momentum
oscillations

Detail

Period of a physical pendulum, determined by the moment of inertia and the distance to the center of mass.

Variables

$d$ distance from the pivot to the center of mass.

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$I=\sum_i m_ir_i^2$
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$T=2\pi\sqrt{\frac{L}{g}}$
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