A shop sign weighing 206 N is supported by a uniform 132 N beam of length L = 1.89 m as shown in figure below.(adsbygoogle = window.adsbygoogle || []).push({});

The guy wire is connected D = 1.19 m from the backboard. Find the tension in the guy wire. Assume theta = 43.0 o

Find the horizontal force exerted by the hinge on the beam.

Find the vertical force exerted by the hinge on the beam. Use "up" as the positive direction.

I get T = -mg * 1/2L + T*L*sin(43) = T = mg/2sin(40)

Fx = Hx -T cos(43) = 0

Hx = T cos(43)

Fy = Hy -mg + Tsin(43) = 0

Hy = mg - Tsin(43)

But these are incorrect. Where did I go wrong?

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# Hanging sign problem

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