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A solid sphere of mass m and radius R is...


A solid sphere of mass `m` and radius `R` is rolling without slipping as shown in figure. Find angular momentum of the sphere about z-axis.

Text Solution

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`L=mvr_(bot)+I_(c)omega`
`=mvR+((2)/(5)mR^(2))((v)/(R))`
`=(7)/(5)mvR`
this is clockwise, or along negative z-axis
`thereforeL=(-(7)/(5)mvR)hatk`
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