logistic_guy
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A uniform solid cylindrical pulley of mass M=3 kg and radius 20 cm is mounted on a horizontal axle. The pulley is free to rotate, but a constant frictional torque of τf=0.6 Nm acts at the axle and opposes the pulley’s rotation. A light, inextensible, and non-stretching rope is tightly wrapped around the pulley. The rope has negligible mass and does not slip as it unwinds. A bucket of mass m=4 kg is attached to the free end of the rope and hangs vertically. The system is released from rest at time t=0 and the bucket begins to fall.
Determine:
(a) The moment of inertia I of the pulley.
(b) The linear acceleration a of the bucket.
(c) The tension T in the rope.
(d) The angular acceleration α of the pulley.
(e) The angular velocity ω of the pulley at t=2 s.
(f) The linear velocity v of the bucket at t=2 s.
Determine:
(a) The moment of inertia I of the pulley.
(b) The linear acceleration a of the bucket.
(c) The tension T in the rope.
(d) The angular acceleration α of the pulley.
(e) The angular velocity ω of the pulley at t=2 s.
(f) The linear velocity v of the bucket at t=2 s.