Final answer:
The inter-axle differential is more prone to spinout damage because it bears four times the torque of a main differential. This increased mechanical stress makes it vulnerable compared to differentials that only manage torque for two wheels.
Step-by-step explanation:
The inter-axle differential is more susceptible to spinout damage than a main differential primarily because it has to carry four times the torque of a main differential (Option D). The main differentials, often found at each axle, distribute torque between the left and right wheels. However, the inter-axle differential, which is situated between the front and rear axles, must accommodate the torque for all four wheels, hence being subjected to greater mechanical stresses which can lead to increased susceptibility to spinout damage.
In the context of rotational motion as observed in spinning tops, we can draw a parallel: if two spinning tops have the same linear velocity at their edges, the top with the smaller radius will have a higher angular velocity (Option A), since angular velocity is inversely proportional to the radius when linear velocity is constant.