The drawing shows a uniform horizontal beam attached to a vertical wall by a fri

Question

The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle ?= 36 degree by a brace that is attached to a pin. The beam has a weight of 346 N. Three additional forces keep the beam in equilibrium. The brace applies a force to the right end of the beam that is directed upward at the angle ? with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component and a vertical component Find the magnitudes of these three forces.

Explanation / Answer

Taking moments about the hinge (Force H and V have zero moment about this point)

Clockwise : mg x

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