Center of Mass of Truck with weights added

AI Thread Summary
The distance between the front and rear wheels of the truck is 3.50m, with initial upward forces of 12300N on the front wheels and 9180N on the rear wheels. After adding a 4850N object to the tailgate, located 4.23m from the front wheels, the new upward forces on the front and rear wheels need to be recalculated. Additionally, the maximum weight that can be added to the tailgate without tipping the truck must be determined, ensuring the front wheels do not rise. Accurate calculations are essential for maintaining stability and safety when loading the truck.
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distance between front and rear wheels of the truck is 3.50m. total upward force on front wheels is 12300N and rear wheels is 9180N. (I have already calculated that the center of mass is 1.28 m behind the front wheels).

Now a 4850N object is added to the tailgate 4.23m from the front wheels (assuming the truck can hold it). how much force is now pushing upwards on the front wheels and the back wheels (individually, not total)


b) what is the maximum weight that can be added to the tailgate without causing the truck to tip (front wheels rising)
 
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