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Three Pendulums with Strings of the Same Length and Bobs

Question 3

Multiple Choice

Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles θ1, θ2, and θ3 respectively, and released. The approximation sin θ = θ holds for all three angles, with θ3 > θ2 > θ1. How do the angular frequencies of the three pendulums compare?


A) ωs3 > ωs2 > ωs1
B) Need to know amplitudes to answer this question.
C) Need to know Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles θ1, θ2, and θ3 respectively, and released. The approximation sin θ = θ holds for all three angles, with θ3 > θ2 > θ1. How do the angular frequencies of the three pendulums compare? A) ωs3 > ωs<sup>2</sup> > ωs1 B) Need to know amplitudes to answer this question. C) Need to know   to answer this question. D) ωs1 > ωs<sup>2</sup> > ωs3 E) ωs1 = ωs<sup>2</sup> = ωs3 to answer this question.
D) ωs1 > ωs2 > ωs3
E) ωs1 = ωs2 = ωs3

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