Solved: Two spheres are each rotating at an angular speed

Chapter 9, Problem 9.101

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Two spheres are each rotating at an angular speed of 24 rad/s about axes that pass through their centers. Each has a radius of 0.20 m and a mass of 1.5 kg. However, as Figure 9.28 shows, one is solid and the other is a thin-walled spherical shell. Suddenly, a net external torque due to friction (magnitude 0.12 N m) begins to act on each sphere and slows the motion down. How long does it take each sphere to come to a halt?

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