Consider the snow plow shown in Problem 3.3. Assume that the snow loads on the plow can be treated as normal forces with a uniform distribution over the height of the plow, and that the blade is close to but does not contact the ground. The properties of the truck are as follows:

Mass: 2500 kg Wheelbase: 3.2 m Weight distribution (%f/r): 55/45 Distance from plow front edge to front axle: 1.5 m Plow inclination: 30∘ from vertical Plow height (measured parallel to plow surface) 1.0 m

a) Find the maximum amount of snow, in terms of traction force at the rear wheel, that can be pushed before the rear tire spins (assume rear wheel drive), with a coefficient of friction between the tire and the road of ???? = 0.3.

b) Repeat the above calculation, assuming that the truck is four wheel drive, with a drive system that ensures the traction force is the same at both axles.