A circular disk of moment of 
is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed 
. Another disk of moment of inertia 
is dropped coaxially onto the rotating disk. Initially the second disk has zero angular speed. Eventually both the disks rotate with a constant angular speed 
The energy lost by the initially rotating disc to friction is
Text Solution
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: As no external torque is applied to the system, the angular momentum of the system remains conserved.
According to given problem,
or 
(i) Initial energy, 
(ii) Final energy, 
(iii) Substituting the value of 
from equation (i) in equation (iii), we get
Final energy, 
(iv) Loss of energy, 
(Using (ii) and (iv))
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