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Pivoted rod on car
A uniform thin rod of length L and mass M is pivoted at one end. The pivot is attached to the top of a car accelerating at rate A, as shown. θ A
(a) What is the equilibrium value of the angle θ between the rod and the top of the car?
(b) Suppose that the rod is displaced a small angle φ from equilibrium. What is its motion for small φ?
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