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AP Physics C: Mechanics/Unit 7 – Oscillations
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Physical Pendulum Differential Equation

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The torque on a physical pendulum is given by τ = -mgd sin θ. Which of the following represents the differential equation of motion for the pendulum when the small-angle approximation is applied?

A

I(d²θ/dt²) + mgd sin θ = 0

B

I(d²θ/dt²) - mgdθ = 0

C

I(d²θ/dt²) + mgdθ = 0

D

m(d²θ/dt²) + mgdθ = 0

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