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 theta = 40 degree by a brace that is attached to a pin. The beam has a weight of 334 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 theta 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

equating torque we get P=V

so Pcos40+V=N

=>Pcos40,V=N/2

P=N/(2*cos40)

now equating force in horizontal

H=Psin40=N*tan40/2

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