Workers have loaded a delivery truck in such a way that itscenter of gravity is
ID: 1727262 • Letter: W
Question
Workers have loaded a delivery truck in such a way that itscenter of gravity is only slightly forward of the rear axle, asshown in the drawing. The mass of the truck and its contents is5800 kg. Find the magnitudes of the forces exerted by the ground onthe following. (a) the front wheels ____N (b) the rear wheels of the truck. ____N Workers have loaded a delivery truck in such a way that itscenter of gravity is only slightly forward of the rear axle, asshown in the drawing. The mass of the truck and its contents is5800 kg. Find the magnitudes of the forces exerted by the ground onthe following. (a) the front wheels ____N (b) the rear wheels of the truck. ____NExplanation / Answer
Mass of the truck and its contents, M = 5800kg Weight of the truck and its contents, W = Mg = 5800 * 9.8 = 56840 N Distance of rear wheels from center of gravity,d1 = 0.63 m Distance of front wheels from center of gravity,d2 = 2.3 m Force exerted by the ground on the front wheelsin upward direction, F2 = ? Force exerted by the ground on the rear wheelsin upward direction, F1 = ? (a) Sum of upward forces = Sum of downwardforces F1 + F2 = W F1 + F2 = 56840 ..............(1) Clockwise moment about the rear wheels =Counterclockwise moment about the rear wheels W * d1 = F2 * ( d1 + d2 ) 56840 * 0.63 = F2 * 2.93 Force exerted by the ground on the front wheelsin upward direction, F2 = 12221.6 N (b) Force exerted by the ground on the rear wheelsin upward direction, F1 = 56840 - F2 = 56840 -12221.6 = 44618.4 N
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