A counterweight of mass $ m = 4.10 \, \text{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 \, \text{cm} $ and mass $ M = 1.80 \, \text{kg} $. The spokes have negligible mass.**Figure Description:**The image depicts a pulley system. A pulley is shown with a hoop and a counterweight $ m $ hanging downwards from a cord wrapped around the pulley. The radius of the pulley is labeled $ R $, and the mass of the pulley hoop is labeled $ M $.**Problems:**(a) What is the net torque on the system about the axle of the pulley?- Enter the magnitude: $\underline{\hspace{2cm}}$ N·m- Direction: [Select](b) When the counterweight has a speed $ v $, the pulley has an angular speed $ \omega = v/R $. Determine the magnitude of the total angular momentum of the system about the axle of the pulley.- $(\underline{\hspace{2cm}} \, \text{kg} \cdot \text{m})v$(c) Using your result from (b) and $\vec{\tau} = \frac{d\vec{L}}{dt}$, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.)- $\underline{\hspace{2cm}}$ m/s²

Given: The mass of the counterweight is m=4.10 kg, The pulley is a thin hoop of radius R=7.00 cm,…

A counterweight of mass m = 4.10 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 = 1.80 kg. The spokes have negligible mass. (a) What is the net torque on the system about the axle of the pulley? magnitude direction N.m ---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 ? = dL/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) |m/s²

A counterweight of mass m = 4.10 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 = 1.80 kg. The spokes have negligible mass. (a) What is the net torque on the system about the axle of the pulley? magnitude direction N.m ---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 ? = dL/dt, calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.) |m/s²

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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