Two metal wheels one stationary and the other start rotating without friction at an initial angular
velocity of 805 rev/min on a frictionless, vertical shaft of negligible rotational inertia. A second
wheel, initially at rest and has a moment of inertia three times that of the rotating wheel, is dropped
onto it as shown below. The wheels quickly attain a common velocity after which they spin
together. [10]
1.1.Use the conservation laws to find the angular velocity of the combination.
1.2.What fraction of the initial kinetic energy is lost through the coupling of the
wheels?
