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lt View History Bookmarks People Window Help o 0 0 Secure l https://session.masteringphysics.com/myct/itemView?assignmentProblemID=82907095 HW20-Ch9 Kinetic Energy and Moment of Inertia MasteringPhysics: HW20- Ch9 Kinetic Energy and Moment of Inertia Part A Consider a particle of mass m that is revolving with angular speed around an axis. The perpendicular distance from the particle to the axis is r. (Figure 1) Find the kinetic energy K of the rotating particle. Express your answer in terms of m, r, and w Hints Foure 1of2 My Answers Submit Give Up Incorrect; Try Again; 2 attempts remaining; no points deducted The correct answer does not depend on: mw Part B This question will be shown after you complete previous qu r/t Part C Find the moment of inertia Ioxop of a hoop of radius r and mass m with respect to an ax passing through its center. (Eigure 2) 29

Explanation / Answer

K= 1/2 I W2

For a single particle executing circular motion, the kinetic energy is, using I=MR2

Because of the dependence of I on r, i2 bodies with more mass far from the axis have larger moments of inertia. For example, a uniform circular hoop of mass M and R has I=MR2 .while for a uniform sphere of the same mass and radius, I = 2/5 MR2

then K =2/5MR2 W

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