Static equilibrium
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A weight W is supported by attaching it to a vertical uniform metal pole by a thin cord passing over a pulley having negligible mass and friction. The cord is attached to the pole 40.0cm below the top and pulls horizontally on it. The pole is pivoted about a hinge at its base, is 1.75m tall, and weighs 55.0N . A thin wire connects the top of the pole to a vertical wall. The nail that holds this wire to the wall will pull out if an outward force greater than 22.0N acts on it.
a) What is the greatest weight W that can be supported this way without pulling out the nail?
b) What is the magnitude of the force that the hinge exerts on the pole?
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