The gear train shown consists of four gears of the same thickness and of the same material;

Question:

The gear train shown consists of four gears of the same thickness and of the same material; two gears are of radius r, and the other two are of radius nr. The system is at rest when the couple M₀ is applied to shaft C. Denoting by I₀ the moment of inertia of a gear of radius r, determine the angular velocity of shaft A if the couple M₀ is applied for one revolution of shaft C.