Question: Consider the mechanical system shown below, in which a simple pendulum is pivoted on a cart of mass m and is constrained to rotate

Consider the mechanical system shown below, in which a simple pendulum is pivoted on a cart of mass m and is constrained to rotate in a vertical plane. The pendulum consists of a point mass M concentrated at the tip of a massless rod of length L. Assume that the friction between the cart and the horizontal surface cannot be ignored. Denote the displacement of the cart as x and the angular displacement of the pendulum as 0. Draw the necessary free-body diagram and kinematic diagram, and derive the equations of motion for small angles. oooo m L b

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