A counterweight of mass m = 5.00 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 = 7.00 cm and mass M = 1.30 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 —Select-— (b) when the countemeight has a speed v, the pulley has an angular speed a) = v/R. Determine the magnitude of the total angular momentum

of the system about the axle of the pulley.

( k9 ‘ m)V (c) Using your result from (b) and 7r = dE/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.)

2 m/s Need Help? i i A particle of mass m moves in the xy plane with a velocity of 3 = V} + vyj‘. Determine the angular momentum of the particle about the origin when its

position vector is P) = xi‘ + yj‘.(Use the following as necessary: x, y, Vx, vy, and m.) Need Help? i Science