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Three Pendulums with Strings of the Same Length and Bobs

Question 9

Multiple Choice

Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles θ12 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) ω3 > ω2 > ω1
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 θ<sub>1</sub>,θ<sub>2</sub> and θ<sub>3</sub> respectively and released.The approximation sin θ = θ holds for all three angles,with θ<sub>3</sub> > θ<sub>2</sub> > θ<sub>1</sub>.How do the angular frequencies of the three pendulums compare? A) ω<sub>3</sub> > ω<sub>2</sub> > ω<sub>1</sub> B) Need to know amplitudes to answer this question. C) Need to know   to answer this question. D) ω<sub>1</sub> > ω<sub>2</sub> > ω<sub>3</sub> E) ω<sub>1</sub> = ω<sub>2</sub> = ω<sub>3</sub> to answer this question.
D) ω1 > ω2 > ω3
E) ω1 = ω2 = ω3

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