Two discs have moments of inertia
and
about their respective axes perpendicular to the plane and passing through the center. They are rotating with angular speeds,
and
respectively and are brought into contact face to face with their axes of rotation coaxial having same sense of rotation. The loss in kinetic energy of the system in the process is given by:
Text Solution
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From conservation of Angular momentum, Initial angular momentum
Final angular momentum

..........(i)
Initial kinetic energy,
........(ii)
Final kinetic energy,
.........(iii)
From equation (i), (ii) and (iii),

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