Derive the equation(s) of motion for the following system using Lagrange's equation(s). Gravity is included and...

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Derive the equation(s) of motion for the following system using Lagrange's equation(s). Gravity is included and the applied force F(t) has a constant direction. The torsional spring kr, the translational spring k and the translational damper c are unstretched when x = 0 = 0, and it is assumed that the only mass of the system is the mass m (that is, the link is assumed to be massless). m F(t) a L 0 X Derive the equation(s) of motion for the following system using Lagrange's equation(s). Gravity is included and the applied force F(t) has a constant direction. The torsional spring kr, the translational spring k and the translational damper c are unstretched when x = 0 = 0, and it is assumed that the only mass of the system is the mass m (that is, the link is assumed to be massless). m F(t) a L 0 X

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