Answer :
The vertical component of the tensions in each rope is 50 N.
Weight of traffic light = w = 100N
The angle at which the ropes are supported = θ = 30
After drawing Free Body Diagram,
The vertical component of tension in each rope =
= 2 X T X sinθ = w
= 100 = 2 X T X sin30
= T = 100 / ( 2 X sin30)
= T = 100 N
Now, tension on vertical component =
= Tsin30
= 100 X 0.5
= 50 N
The term free body is usually associated with the motion of a free body diagram, a pictorial device used by physicists and engineers. In that context, a body is said to be "free" when it is singled out from other bodies for the purposes of dynamic or static analysis.
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