A ring, a solid sphere and a thin disc of different masses rotate with the same kinetic energy. Equal torques are applied to stop them. Which will make the least number of rotations before coming to rest

Disc

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Ring

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Solid sphere

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All will make same number of rotations

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Solution

The correct option is D All will make same number of rotations
As $W = τ θ = E n e r g y \Rightarrow θ = \frac{E n e r g y}{τ} = 2 n π$
So, if energy and torque are same then all the bodies will make same number of rotation.

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A ring, a solid sphere and a thin disc of different masses rotate with the same kinetic energy. Equal torques are applied to stop them. Which will make the least number of rotations before coming to rest

The correct option is D All will make same number of rotationsAs W=τθ=Energy⇒θ=Energyτ=2nπ So, if energy and torque are same then all the bodies will make same number of rotation.

The correct option is D All will make same number of rotations
As $W = τ θ = E n e r g y \Rightarrow θ = \frac{E n e r g y}{τ} = 2 n π$
So, if energy and torque are same then all the bodies will make same number of rotation.