A counterweight of mass m 420 kg is attached to a light, Ask an Expert

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A counterweight of mass m = 4.20 kg is attached to a light cord that is wound around a pulley as shown in the figure below. The pulley is a thin hoop of radius R = 9.00 cm and mass M = 2.90 kg. The spokes have negligible mass.

(a) What is the net torque on the system about the axle of the pulley?

magnitude N · m

direction

(b) When the counterweight has a speed v, the pulley has an angular speed ? = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley.

( kg · m)v

(c) Using your result from (b) and = d/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.)

m/s2

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