In the helicopter shown, a vertical tail rotor is used to prevent rotation of the cab as

Question:

In the helicopter shown, a vertical tail rotor is used to prevent rotation of the cab as the speed of the main blades is changed. Assuming that the tail rotor is not operating, determine the final angular velocity of the cab after the speed of the main blades has been changed from 180 to 240 rpm. (The speed of the main blades is measured relative to the cab, and the cab has a centroidal moment of inertia of 881 kg ?? m1. Each of the four main blades is assumed to be a slender 4.27-m rod of mass 24.9 kg.)