Question: 1. (40 points ) Given a mass- pendulum system shown, a horizontal force F applied to the pendulum. The pendulum with mass M is pinned

1. (40 points ) Given a mass- pendulum system shown, a horizontal force F applied to the pendulum. The pendulum with mass M is pinned to a massless (length [) at the mass center of the roller with mass m, which are connected by horizontal springs of stiffness k. Derive the equations of motion for the system. F(0 M

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