Question: Part 1 : ( 4 0 % , Spring Damper System Modeling ) A motor supplies a torque ( T ) to turn a drum

Part 1: (40%, Spring Damper System Modeling)
A motor supplies a torque (T) to turn a drum of radius R and inertia I a
its axis of rotation. The rotating drum lifts a mass (m) by means of a
cable that wraps around the drum at a speed of w. Viscous torsional
damping (cT) exists in the drum shaft. Neglect the mass of the cable.
Derive the equation of motion of the system with T as the input and
the speed of the mass (v) as the output.
Part 1 : ( 4 0 % , Spring Damper System Modeling

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