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There object, A : (a solid sphere), B : ...

There object, `A` : (a solid sphere), `B` : (a thin circular disk) and `C` : (a circular ring), each have the same mass `M` and radius `R`. They all spin with the same angular speed `omega` about their own symmetry axes. The amount of work `(W)` required ot bring them to rest, would satisfy the relation

A

`W _(B) gt W_(A) gt W _(C)`

B

`W _(A) gt W _(B) gt W _(C)`

C

`W _(C) gt W _(B) gt W _(A)`

D

`W _(A) gt W _(C) gt W _(B)`

Text Solution

Verified by Experts

From work energy theorem, to stop the system
`W _(axt) = (1)/(2) I omega ^(2) implies W _(axt) prop 1`
`I _(C) gt I _(B) gt I _(A) implies W _(C) gt W _(B)gt W _(A)`
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