1. The figure shows a pendulum driven by a hydraulic system. You will be deriving the equations ofmotion (ODEs) for the system in stages. Assume that the mass m lumped at the end of thependulum is the only significant mass or inertia in the entire system. There is no friction betweenany of the mechanical parts. The fluid resistance is linear. You may assume small angles for themotion of the pendulum. You should treat the fluid as compressible!a) Draw freebody diagrams for the piston and the pend
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