A counterweight of mass m = 4.80 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 = 6.00 cm and mass M = 1.10 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 ω = 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 τ→ = dL→/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration. ) m/s2

A counterweight of mass m = 4.80 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 = 6.00 cm and mass M = 1.10 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 ω = 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 τ→ = dL→/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration. ) m/s2

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A counterweight of mass m = 4.80 k g 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 = 6.00 c m and mass M = 1.10 k g . 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 ω = v / R . Determine the magnitude of the total angular momentum of the system about the axle of the pulley. ( k g m ) v (c) Using your result from (b) and τ = d L / d t , calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) m / s 2

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