Question
Asked Dec 17, 2019
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45.0° 45.0°
60.0 N
60.0 N
(a) What is the resultant force
exerted by the two cables sup-
porting the traffic light in Figure
P4.75? (b) What is the weight of
the light?
Figure P4.75
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45.0° 45.0° 60.0 N 60.0 N (a) What is the resultant force exerted by the two cables sup- porting the traffic light in Figure P4.75? (b) What is the weight of the light? Figure P4.75

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Expert Answer

Step 1

Consider T1 and T2 be the force acting on the cable.

As the angle between the supports (point where the cable joins with traffic light) at point of action of force is 90 degrees. As the cable forms a triangle with the other two angles as 45 degrees each.  Therefore, the resultant of these two tensions be:

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R= r° +T} = V(60.0 N )* + (60.0 N ) - 60 Z N -(60.0 N) 84.85 N

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Step 2

Draw the free body diagram at the supporting point.

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KJaso 45(7 45045" 90 1350 13

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Step 3

Apply Lami’s at point ...

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60.0 N 60.0 N sin (135°) sin (135°) sin (90°)

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