A shop sign weighing 240 N is supported by a uniform 130 N beam as shown in the figure. Find the tension in?

Question

A shop sign weighing 240 N is supported by a uniform 130 N beam as shown in the figure. Find the tension in the guy wire.

figure is shown here https://egp.rutgers.edu/gifs/CJ/9-6.gif

Answer 1

The sign is acting by 240 N downward at 1.7 m from left

The beam is acting by 130 N downward at 0.85 m from left

The rope is acting by an inclined force (T N) at 1.35 m

Since the system is in equilibrium then the moment at any point is zero

Taking the moment at the left end of the beam so that the affect of the wall reaction is not regarded the we ca write the equation:

M = -( 130 • 0.85) - ( 240 • 1.7 ) + ( T • 1.35 • sin41º ) = 0

- 518.5 + 0.886 T = 0

T = 518.5/0.886 ≈ 585 N

Answer 2

Not knowing the mat'l the beam is anchoring in makes a big difference...if you have an embedded plate into a concrere wall then you wont need as big of suspention system. also you might consider the wind load and again consider your anchorage point/points.