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??82%-0. Wed 9:44 PM a e Homework # 9 C | Not Secure ! tudent/Assignment-Responses/submit?dep 18507783 Notes Ask Your Question De Each of the following objects has a radius of 0.168 m and a mass of 2.08 kg, and each rotates about an axis through it center (as in the table below) with an angular speed of 36.1 rad/s Moments of Inertia for Various Rigid Objects of Uniform Composition eylindrical she Solid phere MR Solid Olimler or disk sheB ER long thin rod with rotation axs throngh eenter rod with hrongh end Find the magnitude of the angular momentum of each object. a hoop a solid cylinder a solid sphere a hollow spherical shell kg ma/s kg m2/s kg-m2/s kg m2/s Show My Work (opina MacBook Air

Explanation / Answer

a)

Hoop

Moment of inertia

I=MR2 =2.08*0.1682 =0.0587 Kg-m2

angular momentum

L=IW =0.0587*36.1

L=2.12 Kg-m2/s

b)

Solid cylinder

I=(1/2)mR2 =(1/2)(2.08)(0.168)2 =0.02935 Kg-m2

L=0.02935*36.1=1.06 Kg-m2/s

c)

Solid sphere

I=(2/5)mR2 =(2/5)*2.08*0.1682 =0.02348 Kg-m2

L=36.1*0.02348 =0.8477 Kg-m2/s

d)

Hollow spherical shell

I=(2/3)mR2 =(2/3)*2.08*(0.168)2=0.03913 Kg-m2

L=0.03913*36.1

L=1.413 Kg-m2/s

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