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AP Physics C: Mechanics/Unit 7 – Oscillations
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Simple Pendulum Restoring Torque

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A simple pendulum of mass mm and length LL oscillates with a small angular displacement θ\theta. Which of the following expressions represents the restoring torque τ\tau that produces this approximate simple harmonic motion?

A

τ=−Iω2sin⁡(θ)\tau = -I\omega^2 \sin(\theta)

B

τ=−Iω2θ2\tau = -I\omega^2\theta^2

C

τ=−Iθ\tau = -I\theta

D

τ=−mgLθ\tau = -mgL\theta

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