Rotational Motion

Two fly wheels \(A\) and \(B\) are mounted side by side with frictionless bearings on a common shaft. Their moments of inertia about the shaft are \(5.0 \mathrm{~kg}-\mathrm{m}^2\) and \(20.0 \mathrm{~kg}-\mathrm{m}^2\), respectively. Wheel \(A\) is made to rotate at \(10 \mathrm{~rev}\) per second. Wheel \(B\), initially stationary, is now coupled to \(A\) with the help of a clutch. The rotation speed of the wheels will become