Problem 1. (30 points) Consider the mechanical system in the figure below, where f and q are external forces; and viscos

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Problem 1 30 Points Consider The Mechanical System In The Figure Below Where F And Q Are External Forces And Viscos 1 (157.97 KiB) Viewed 52 times

Problem 1. (30 points) Consider the mechanical system in the figure below, where f and q are external forces; and viscos friction (B) exists between m, and m2: X2 xi f a k mm B mi (a) Draw the free body diagrams of the masses and the auxiliary plots of the spring and damping elements. (8 points) (b) Derive the differential equations of motion of the system. (10 points) (c) Obtain a state-space model of the system, with f and q as the inputs, and the displacement of mass m, and the internal force of spring k as the outputs. (9 points) (d) What are the kinetic energy and potential energy of the system? (3 points)