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The horizontal beam in the figure weighs 150 N, and its center of gravity is at its center

The horizontal beam in the figure weighs 150 N, and its center of gravity is at its center.Find:1) Find the tension in the cable.2) Find the horizontal component of the force exerted on the beam at the wall. 3) Find the vertical component of the force exerted on the beam at the wall.
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Major Spinka DVM

Feb 20, 2025

1)take moments about the hinge on the wall:(2 x 150) + (4 x 300) – (4 x TsinA) = 0 where T=tension, A=angle between beam and cablefrom diagram: sinA = 3/5 300 + 1200 – (12/5)T = 01500 = (12/5)T7500 = 12TT = 625 N2) The only other horizontal force on the beam is from the cable. In equilibrium, so force at wall = Hor. force in cable.Hor force = Horizontal component of T = TcosAFrom diagram: cosA = 4/5So: Hor force = 625 x 4/5 = 500 N3) In equilibrium:sum of vertical forces = 0300 + 150 – TsinA – Y = 0 where Y is vert component at wall450 – (625 x 3/5) – Y = 0450 – 365 = YY = 75 N... Show More
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