A counterweight of mass \( m = 3.60 \, \text{kg} \) 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 \( M = 1.50 \, \text{kg} \). The spokes have negligible mass.**Diagram Description:**The diagram shows a pulley system with a solid cylindrical pulley on an axle. A light cord is wrapped around the pulley, with a counterweight suspended at the other end. The radius of the pulley is labeled \( R \), and the mass of the counterweight is \( m \).### Questions:(a) What is the net torque on the system about the axle of the pulley?- Magnitude: [_____] \( \text{N} \cdot \text{m} \)- Direction: [Select from options](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.- \([_____]\) \( \text{kg} \cdot \text{m}^2 \) v(c) Find the magnitude of the acceleration of the counterweight.- [_____] \( \text{m/s}^2 \)

A counterweight of mass m = 3.60 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 = 1.50 kg. The spokes have negligible mass. M 111 (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 = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. kg.m)v (c) Find the magnitude of the acceleration of the counterweight. m/s²

A counterweight of mass m = 3.60 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 = 1.50 kg. The spokes have negligible mass. M 111 (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 = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. kg.m)v (c) Find the magnitude of the acceleration of the counterweight. 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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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

A counterweight of mass \( m = 3.60 \, \text{kg} \) 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 \( M = 1.50 \, \text{kg} \). The spokes have negligible mass.

**Diagram Description:**
The diagram shows a pulley system with a solid cylindrical pulley on an axle. A light cord is wrapped around the pulley, with a counterweight suspended at the other end. The radius of the pulley is labeled \( R \), and the mass of the counterweight is \( m \).

### Questions:

(a) What is the net torque on the system about the axle of the pulley?
- Magnitude: [_____] \( \text{N} \cdot \text{m} \)
- Direction: [Select from options]

(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.
- \([_____]\) \( \text{kg} \cdot \text{m}^2 \) v

(c) Find the magnitude of the acceleration of the counterweight.
- [_____] \( \text{m/s}^2 \)

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