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 ? = 38o by a brace that is attached to a pin. The beam has a weight of 350 N. Three additional forces keep the beam in equilibrium. The brace applies a force P 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 H and a vertical component V. Find the magnitudes of these three forces.

Explanation / Answer

Sum up the forces in both y and x (up and down) You know the beam will only have a negative y component (already given) due to gravity. (-350N in the y direction) You'll have to separate the horizontal and vertical components of the hinge and brace as well. Assuming the system is in equilibrium, all forces will add up to zero: so Sum y = -350 + both vertical components = 0 Sum x = both horizontal components. = 0 You should be able to find the components using trig fns. Hope this helps

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