Test Academy | Two discs of moment of inertia I1 and I2 and angular speeds ω1 and ω2 are rotating along collinear axes passing through their centre of mass and perpendicular to their plane. If the two are made to rotate together along the same axis the rotational KE of system will be I₁ω₁ + I₂ω₂/2(I₁ + I₂), (I₁ + I₂)(ω₁ + ω₂)²/2, (I₁ω₁ + I₂ω₂)²/2(I₁ + I₂), None of these

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Two discs of moment of inertia I1 and I2 and angular speeds ω1 and ω2 are rotating along collinear axes passing through their centre of mass and perpendicular to their plane. If the two are made to rotate together along the same axis the rotational KE of system will be

Options :

I₁ω₁ + I₂ω₂/2(I₁ + I₂)
(I₁ + I₂)(ω₁ + ω₂)²/2
(I₁ω₁ + I₂ω₂)²/2(I₁ + I₂)
None of these

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