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?
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?