A trailer weighing 2000 lb is attached to a 3500-lb pickup truck by a ball-and-s
ID: 1851438 • Letter: A
Question
A trailer weighing 2000 lb is attached to a 3500-lb pickup truck by a ball-and-socket truck hitch at D. Determine (a) the reactions at each of the six wheels when the truck and trailer are at rest, (b) the additional load on each of the truck wheels due to the trailer..
A trailer weighing 2000 lb is attached to a 3500-lb pickup truck by a ball-and-socket truck hitch at D. Determine (a) the reactions at each of the six wheels when the truck and trailer are at rest, (b) the additional load on each of the truck wheels due to the trailer..Explanation / Answer
g = 9.8 m/s^2.... Now let the reaction forces be Ra, Rb and Rc... Net moment about A should be 0 since the whole system is at rest. That means, 2000*2 + 3500*(2+9+3+5) - Rb*(2+9+3) - Rc(2+9+3+5+4) = 0 or 14Rb + 23Rc = 70500; In the same way taking net moment about C = 0 we can get the equation 23Ra + 9Rb = 56000. A third equation can obtained by taking net moment about B=0 or instead we can also write directly, Ra + Rb + Rc = 2000+3500 = 5500. From these 3 equations we can obtain values of Ra, Rb and Rc easily. But note that the required value of reaction forces at each of tire will be half of Ra or Rb and Rc Because these forces are assumed to be that of both tires at each point. For part b) we can find the reaction forces at Rb and Rc considering the truck alone. Then subtracting the reaction forces obtained from part a will tell us how much additional load has come due to the trailer..
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