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A thin, light wire is wrapped around the rim of a wheel,

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 88P Chapter 9

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 88P

A thin, light wire is wrapped around the rim of a wheel, as shown in Figure. The wheel rotates about a stationary horizontal axle dial passes through the center of the wheel. The wheel has radius 0.180 m and moment of inertia for rotation about the axle of ?I? = 0.480 kg · m2. A small block with mass 0.340 kg is suspended from the free end of the wire. When the system is released from rest, the block descends with constant acceleration. The bearings in the wheel at the axle are rusty so friction there does ?6.00 J of work as the block descends 3.00 m. What is the magnitude of the angular velocity of the wheel after the block has descended 3.00 m? Figure:

Step-by-Step Solution:

Solution 88P Step 1: Radius of the wheel R = 0.18 m Moment of Inertia I = 0.48 Kg.m 2 Mass of the block m = 0.34 Kg Work done by friction W = -6.00 J f Height descended h = 3.0 m

Step 2 of 5

Chapter 9, Problem 88P is Solved
Step 3 of 5

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

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A thin, light wire is wrapped around the rim of a wheel,