A fly wheel having mass 3 kg and radius 5 m is free to rotate about a horizontal axis. A string having negligible mass is wound around the wheel and the loose end of the string is connected to 3 kg mass. The mass is kept at rest initially and released. Kinetic energy of the wheel when the mass descends by 3 m is 
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(30) Let the mass of the flywheel be 
and its radius be 
.
Let the hanging mass be 
and the distance descended be 
.
The flywheel is a disk, so its moment of inertia is 
.
By conservation of energy, the loss in potential energy of the hanging mass equals the gain in kinetic energy of the system.
Since the string does not slip, 
, so 
.
Substituting the values: 
.
The kinetic energy of the wheel is 
.
.
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