I = 0.8 kg middot m2, and cT = 0.1 N middot m middot s. Find the speed v(t) if t

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I = 0.8 kg middot m2, and cT = 0.1 N middot m middot s. Find the speed v(t) if the system is initially at rest and the torque T is a step function of magnitude 300 N middot m. Derive the equation of motion for the lever system shown in Figure P4.37, with the force f as the input and the angle theta as the output. The position theta = 0 corresponds to the equilibrium position when f = 0. The lever has an inertia I about the pivot. Assume small displacements. In the system shown in Figure P4.38, the input is the displacement y and the output is the displacement x of the mass m. The equilibrium position corresponds to x = y = 0. Neglect any friction between the mass and the surface. Derive the equation of motion and find the transfer function X(s)/Y(s). Figure P4.37 Figure P4.38 Figure P4.39a shows a Houdaille damper, which is a device attached to an engine crankshaft to reduce vibrations. The damper has an inertia Id that is free

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