Three Pendulums with Strings of the Same Length and Bobs

question 12

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) ω₃ > ω₂ > ω₁
• B) Need to know amplitudes to answer this question.
• C) Need to know to answer this question.
• D) ω₁ > ω₂ > ω₃
• E) ω₁ = ω₂ = ω₃

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