Let (x) be the displacement of the left end of the bar of the system in Figure

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Let \(x\) be the displacement of the left end of the bar of the system in Figure P1.29. Let \(\theta\) represent the clockwise angular rotation of the bar.

(a) Express the kinetic energy of the system at an arbitrary instant in terms of \(\dot{x}\) and \(\dot{\theta}\).

(b) Express the potential energy of an arbitrary instant in terms of \(x\) and \(\theta\).

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