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Two discs of moment of inertia l₁ and I₂ and angular speeds

Two discs of moment of inertia l₁ and I₂ and angular speeds ?￢ﾂﾁ and ?￢ﾂﾂ are rotating along collinear axes passing through their centre of mass and perpendicular to their plane.If the two are made to rotate combindly along the same axis the rotational KE of system will be

Options

(a) l₁?￢ﾂﾁ + I₂?￢ﾂﾂ / 2(l₁ + I₂)
(b) (l₁ + I₂)(?￢ﾂﾁ+ ?￢ﾂﾂ)² / 2
(c) (l₁?￢ﾂﾁ + I₂?)² / 2(l₁ + I₂)
(d) None of these

Correct Answer:

(l₁?￢ﾂﾁ + I₂?)² / 2(l₁ + I₂)

Explanation:

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