The pendulum shown consists of a sphere of mass M connected to a rigid rod of length L and negligible mass. Pin O is free to slide along the horizontal rail and its motion is described by the input displacement u. At equilibrium position, u=0, the rod is vertical, and the spring is unstretched. Derive the equation of motion of the rotational motion of the pendulum for small angle theta.

The pendulum shown consists of a sphere of mass M connected to a rigid rod of length L and negligible mass. Pin O is free to slide along the horizontal rail and its motion is described by the input displacement u. At equilibrium position, u=0, the rod is vertical, and the spring is unstretched. Derive the equation of motion of the rotational motion of the pendulum for small angle theta.

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The pendulum shown consists of a sphere of mass M connected to a rigid rod of length L and negligible mass. Pin O is free to slide along the horizontal rail and its motion is described by the input displacement u. At equilibrium position, u=0, the rod is vertical, and the spring is unstretched. Derive the equation of motion of the rotational motion of the pendulum for small angle theta.

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