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AP Physics C: Mechanics
7.5 Simple and Physical Pendulums
7.2 Frequency and Period of SHM
IntermediateMCQMathematicalProportional Analysis21.5k
Physical disk pendulum pivoted at its rim and a simple pendulum of length R.
Physical disk pendulum pivoted at its rim and a simple pendulum of length R.
A physical pendulum consists of a uniform solid disk of mass \(M\) and radius \(R\) pivoted about a frictionless horizontal axle passing perpendicularly through a point on its outer rim. A simple pendulum consists of a small point-like bob of mass \(M\) suspended from a light string of length \(R\). Both pendulums oscillate in vertical planes with small angular amplitudes. What is the ratio of the period of oscillation of the disk pendulum to the period of oscillation of the simple pendulum, \(\dfrac{T_{\text{disk}}}{T_{\text{simple}}}\)?

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