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A uniform horizontal beam with a length of 8m and a weight of 200N is attached to a wall by a pin connection. Its far end is supported by a cable that makes an angle of 53° with the beam (Figure below). If a 600N person stands 2m from the wall, find the tension in the cable as well as the magnitude and direction of the force exerted by the wall on the beam.

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  1. first, the diagram.
    T is tension.
    fup is the force on the pin holding it upwards
    fout is the force on the pin pushing it outwards.
    vertica forces = zero
    Fup-6000-2000+Tsin53=0
    horizontal forces =zero
    Fout-Tcos53=0
    sum moments about pin is zero.
    -6000*2-2000*4+Tsin53=zero

    so you have three indep equations, three unknowns. For the force by the wall on the beam, combine Fup and Fout into a composite vector.

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    bobpursley

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