For the paper feeder for a copy machine is modelled below Assume that the linkage applies a force F that is proportional to the mometn from the DC, M  M = Fr This assumption can be made because the feeder arm only engages the paper as the motor gear rotates over the top of its cycle Determine the transfer function for Xp(s)/M(s)

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Find J and D (SI units) to yield 10% overshoot and settling time for 4 seconds for a step input of torque T(t)

5, a system of two rotating bodies is shown, with their individual mass moments of inertia, separated by a rotational viscous damper element. The leftmost mass is connected to an input position, in, via a spring. This is a reasonable model for a system called a torsional vibrational damper, used for vibration damping in engines on the crankshaft. Фіп k Ip Op la Your tasks: A Draw the free body diagram of the rightmost rotating body. B Draw the free body diagram of the leftmost rotating body. (5 C Derive the equations of motion for the system of rotating bodies 0 a 0