Replace the three forces acting on the guy wires by a single, equivalent force acting on the flagpole. Use T1 = 200 lb, T2 = 400 lb, and T3 = 350 lb.
The forces that the door exerts on its hinges can be found by simply reversing the directions of the forces that the hinges exert on the door. Hence, our task is to find the forces from the hinges on the door. Three forces act on the door slab: an unknown force . from hinge . an unknown force . from hinge . and the known weight
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