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A traffic light of weight 100 N is supported by two ropes as shown in Fig. on the right. What are the tensions in the ropes?

A) 50 N
B) 63 N
C) 66 N
D) 83 N

A traffic light of weight 100 N is supported by two ropes as shown in Fig. on the-example-1
User Obzi
by
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2 Answers

5 votes

Answer: D. 83 N

Step-by-step explanation:

User Wivlaro
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1 vote

Answer:

83 N

Step-by-step explanation:

Draw a free body diagram of the traffic light. There are three forces:

Weight force 100 N pulling down,

and tension forces T pulling along the ropes.

Sum of forces in the y direction:

∑F = ma

2 (T sin 37°) − 100 = 0

T = 83 N

User Meny Issakov
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4.6k points