Exercise 10.11 A machine part has the shape of a solid uniform sphere of mass 24

Question

Exercise 10.11 A machine part has the shape of a solid uniform sphere of mass 240 g and diameter 2.50 cm. It is spinning about a frictionless axle through its center, but at one point on its equator it is scraping against metal, resulting in a friction force of 0.0200 N at that point. Part A Find its angular acceleration. Let the direction the sphere is spinning be the positive sense of rotation. a 16.66 Submit ncorrect; Try Again; 2 attempts remaining rad/s My Answers Give Up Part B How long will it take to decrease its rotational speed by 24.0 rad/s? ta 144s Submit Correct My Answers Give Up

Explanation / Answer

from Torque T = I Alpha

angular accleration Alpha = T/I

aslo Torque T = F x r

I is moment of inertia I = 2MR^2/5

so alpha = -5 F x R/2mR^2

Alpha = - 5F/Md

Alpha = - 5 * 0.02/(0.24 * 0.025)

Alpha = -16.67 rad/s^2

include -ve sign

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