Two discs of moment of inertia I₁=4 ~kg ~m² and I₂=2 ~kg ~m², about their central axes normal to their planes, rotating with angular speeds 10 ~rad / s 4 ~rad / s respectively are brought into contact face to face with their axes of rotation coincident. The loss in kinetic energy of the system in the process is _ _ _ _ J.

Rotational Motion: JEE Main 2024 Physics question

JEE Main 2024 · 30 Jan, Evening shift · Q69

JEE Main 202430 Jan, Evening shiftPhysicsHardRotational Motion140× since 2002

Two discs of moment of inertia

I_1=4 \mathrm{~kg} \mathrm{~m}^2

and

I_2=2 \mathrm{~kg} \mathrm{~m}^2

, about their central axes & normal to their planes, rotating with angular speeds

10 \mathrm{~rad} / \mathrm{s}

4 \mathrm{~rad} / \mathrm{s}

respectively are brought into contact face to face with their axes of rotation coincident. The loss in kinetic energy of the system in the process is _________ J.

Your answerType your answer. Integers and decimals are accepted.

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