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

question 13

Multiple Choice

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

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

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