Chapter 6: Problem 7
\({ }^{\dagger} \mathrm{A}\) double pendulum consists of a bob of mass \(m\) suspended under gravity from a fixed point by a light string of length \(a\), and a second bob, also of mass \(m\), suspended from the first by a further light string, also of length \(a\). Show that if the motion is near equilibrium and is confined to a vertical plane through the fixed point then the normal frequencies are \(\sqrt{(2 \pm \sqrt{2}) g / a}\). Describe the corresponding normal modes. Without doing further calculation, describe the normal modes when the motion is not confined to a vertical plane.
Short Answer
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Key Concepts
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