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Three Pendulums with Strings of the Same Length and Bobs θ\theta

Question 13

Multiple Choice

Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles θ\theta 1, θ\theta 2 and θ\theta 3 respectively and released. The approximation sin θ\theta = θ\theta holds for all three angles, with ω \omega 3 > ω \omega 2 > ω \omega 1. How do the angular frequencies of the three pendulums compare?


A) ( ω \omega 3 > ω \omega 2 > ω \omega 1)
B) Need to know amplitudes to answer this question.
C) Need to know g/L\sqrt{g / L} to answer this question.
D) ( ω \omega 1 > ω \omega 2 > ω \omega 3)
E) ( ω \omega 1 = ω \omega 2 = ω \omega 3)

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