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Knowing that α = 20∘, determine the tension (a) in cable AC, (b) in rope BC.

Question-Answer › Category: Engineering Mechanics › Knowing that α = 20∘, determine the tension (a) in cable AC, (b) in rope BC.
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Ankit Anand asked 1 year ago

Knowing that α = 20∘, determine the tension (a) in cable AC, (b) in rope BC.

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Sazid Ahmad answered 1 year ago

 

(a)
Consider the above-given diagram and draw a free body diagram of point C,
Mechanical Engineering homework question answer, step 1, image 1

Now apply the force equilibrium in the x-direction,
Mechanical Engineering homework question answer, step 2, image 1
Now apply the force equilibrium in the y-direction,
Mechanical Engineering homework question answer, step 2, image 2
From equations (1) and (2),
Mechanical Engineering homework question answer, step 2, image 3
Therefore, the tension in cable AC is 1244.2 lb.

(b)
From equation (1),
Mechanical Engineering homework question answer, step 3, image 1
Therefore, the tension in rope BC is 115.4 lb

Your Answer

20 + 18 =