A uniform spherical shell of mass M = 9.70 kg and radius R = 0.530 m can rotate about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 0.210 kg·m2 and radius r = 0.140 m, and is attached to a small object of mass m = 4.20 kg. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object when it has fallen a distance 1.05 m after being released from rest? Use energy considerations.

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Introduction
Section: Chapter Questions
Problem 1WUE: Math Review Convert the following numbers to scientific notation. (a) 568 017 (b) 0.000 309
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A uniform spherical shell of mass M = 9.70 kg and radius R = 0.530 m can rotate about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 0.210 kg·m2 and radius r = 0.140 m, and is attached to a small object of mass m = 4.20 kg. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object when it has fallen a distance 1.05 m after being released from rest? Use energy considerations.

М, R
I, r
Transcribed Image Text:М, R I, r
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