Workers have loaded a delivery truck in such a way that its center of gravity is

Question

Workers have loaded a delivery truck in such a way that its center of gravity is only slightly forward of the rear axle, as shown in the figure. The mass of the truck and its contents is 6610 kg. Find the magnitudes of the forces exerted by the ground on (a) the front wheels and (b) the rear wheels of the truck.

Workers have loaded a delivery truck in such a way that its center of gravity is only slightly forward of the rear axle, as shown in the figure. The mass of the truck and its contents is 6610 kg. Find the magnitudes of the forces exerted by the ground on (a) the front wheels and (b) the rear wheels of the truck.

Explanation / Answer

Let NF = force exerted by ground on front wheels

     NR = force exerted by ground on real wheels

Part A : Torque at real wheels = 0

-mg.(0.63) + NF.(2.30 + 0.63) = 0

NF = mg.(0.63)/(2.93) = (6610).(9.8).(0.63)/(2.93)

NF = 13928.375 N

Part B : NF + NR = mg

                   NR = mg - NF = 6610.9.8 - 13928.375

                   NR = 50849.625 N

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