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AP Physics C: Mechanics/Unit 7 – Oscillations
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Simple Pendulum Energy Ratio

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A simple pendulum of length L and mass m is released from rest at an angle θ0\theta_0 from the vertical. What is the ratio of its kinetic energy to its potential energy when the pendulum reaches an angle of θ0/2\theta_0/2 with the vertical?

A

sin2(θ0/2):cos2(θ0/2)sin^2(\theta_0/2) : cos^2(\theta_0/2)

B

cos(θ0/2)−cos(θ0):1−cos(θ0/2)cos(\theta_0/2) - cos(\theta_0) : 1 - cos(\theta_0/2)

C

1 : 1

D

cos(θ0):cos(θ0/2)cos(\theta_0) : cos(\theta_0/2)

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