A counterweight of mass m = 4.30 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 = 2.80 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 counterweight has a speed v, the pulley has an angular speed w = 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 7 = dL/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) m/s²

A counterweight of mass m = 4.30 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 = 2.80 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 counterweight has a speed v, the pulley has an angular speed w = 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 7 = dL/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) m/s²

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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A counterweight of mass m = 4.30 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 = 2.80 kg. The spokes have
negligible mass.
m
(a) What is the net torque on the system about the axle of the pulley?
magnitude
N. m
direction
Select--
(b) When the counterweight has a speed v, the pulley has an angular speed w = 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 7 = dL/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.)
m/s2

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