Two discs have moments of inertia I₁ and I₂ about their respective axes perpendicular to the plane and passing through the centre. They are rotating with angular speeds, ω ₁ and ω ₂ respectively and are brought into contact face to face with their axes of rotation coaxial. The loss in kinetic energy of the system in the process is given by:

(C) I₁I₂/(2(I₁ + I₂))(ω ₁ - ω ₂)²

(A) I₁I₂/((I₁ + I₂))(ω ₁ - ω ₂)²

(B) (I₁ - I₂)²ω ₁ω ₂ 2(I₁ + I₂)

(D) ((ω ₁ - ω ₂)²)/(2(I₁ + I₂))

Rotational Motion: JEE Main 2021 Physics question

JEE Main 2021 · 27 Aug, Evening shift · Q8057

JEE Main 202127 Aug, Evening shiftPhysicsMediumRotational Motion140× since 2002

Two discs have moments of inertia I₁ and I₂ about their respective axes perpendicular to the plane and passing through the centre. They are rotating with angular speeds,

\omega

₁ and

\omega

₂ respectively and are brought into contact face to face with their axes of rotation coaxial. The loss in kinetic energy of the system in the process is given by :

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