Three objects- 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 - about their own symmetry axes- The amounts of work W required to bring them to rest- would satisfy the relation-

The correct option is A W_C > W_B > W_A Work done is change in kinetic energy. #160;hence more the kinetic energy, more will be the work done. K.E. ...

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Byju's Answer

Standard XII

Physics

Rotational Work and Energy

Three objects...

Question

Three objects, 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 $ω$ about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation.

W_{B} > W_{A} > W_{C}

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W_{C} > W_{B} > W_{A}

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W_{A} > W_{C} > W_{B}

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W_{A} > W_{B} > W_{C}

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Solution

The correct option is A $W_{C} > W_{B} > W_{A}$
Work done is change in kinetic energy.
hence more the kinetic energy, more will be the work done.
$K . E . = \frac{I w^{2}}{2}$
They all have same angular velocity.
Hence more the moment of inertia, more the kinetic energy and hence more will be the work done.
Hence $W_{C} > W_{B} > W_{A}$

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Three objects, 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 ω about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation.

The correct option is A WC>WB>WAWork done is change in kinetic energy. hence more the kinetic energy, more will be the work done.K.E.=Iw22They all have same angular velocity.Hence more the moment of inertia, more the kinetic energy and hence more will be the work done.Hence WC>WB>WA

Three objects, 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 $ω$ about their own symmetry axes. The amounts of work (W) required to bring them to rest, would satisfy the relation.