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Question:

what is the magnitude of the net torque on the system about the axle of the pulley?

A counterwight of mass m 4.00 kg is attached to a light cord that is wound around a pulley. The pulley is a thing hoop of radius R8.00 cm and mass M 2.00 kg. The spoke have negligible mass. a) What is the magnitude of the net torque on the system about the axle of the pulley?b) When the counterweight has a speed v, the pulley has an angular speed wv/R. . Determine the magnitude of the total angular momentum of the system about the axle of the pulley.c) Using the result from part b. and torquedL/dt, calculate the acceleration of the counterweight.

Answer:

a) Torques on the axle 4 * 9.81 * 0.08 m-N 3.1392 m-N. b) Angular momentum of the system angular momentum of the counterweight + angular momentum of the pulley L [4 * w * (0.08)^2] + [2 * (0.08)^2 w] 0.0384 w kgm^2/s c) Torque dL/dt 3.1392 d/dt (0.0384 w) dw/dt 3.1392/0.0384 rad/s^2 angular acceleration, dw/dt 81.75 rad/s^2 acceleration of the counterweight dw/dt * R 81.75 * 0.08 m/s^2 6.54 m/s^2.
May 28, 2018
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