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a traffic light of weight 100 n is supported by two ropes that make 30 degree angle with the horizontal. what is the vertical component of the tensions in each rope?

Sagot :

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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