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

ID: 1268065 • Letter: T

Question

The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle = 37o by a brace that is attached to a pin. The beam has a weight of 344 N. Three additional forces keep the beam in equilibrium. The brace applies a force Upper P Overscript bar EndScripts 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 Upper H Overscript bar EndScripts and a vertical component Upper V Overscript bar EndScripts. Find the magnitudes of these three forces.

V=

P=

H=

Explanation / Answer

A freebody diagram will show that:

V + P*sin37

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