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Static Equillibrium

A trucker needs to weigh a truck that is too long to fit on a platform scale. When the front wheels of the truck are run onto the scale, the scale reads W1. When the rear wheels are run onto the scale so that the front wheels are off, it reads w2. a) Prove that the total weight of the truck is W1+W2. b) Prove that if the truck is loaded so that its center of gravity is halfway between the front and rear wheels, the total weight is 2W1.

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When x=y=0.5L, then we can get w1= Assume the axial length of the truck is L. ...

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This solution includes full calculations.