In Figure P4.53 a motor supplies a torque T to turn a drum
Chapter , Problem 4.53(choose chapter or problem)
In Figure P4.53 a motor supplies a torque T to turn a drum of radius R and inertia I about its axis of rotation. The rotating drum lifts a mass m by means of a cable that wraps around the drum. The drum’s speed is \(\omega\). Viscous torsional damping \(c_{T}\) exists in the drum shaft. Neglect the mass of the cable.
(a) Obtain the equation of motion with the torque T as the input and the vertical speed v of the mass as the output.
(b) Suppose that m = 40 kg, R = 0.2 m, \(I=0.8 \mathrm{~kg} \cdot \mathrm{m}^{2}\), and \(c_{T}=0.1 \mathrm{~N} \cdot \mathrm{m} \cdot \mathrm{s}\). Find the speed v(t) if the system is initially at rest and the torque T is a step function of magnitude \(300 \mathrm{~N} \cdot \mathrm{m}\).
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer