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Vectors and moments (Vector diagram, horizontal/vertical components, weight) 
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#1
Oct2712, 02:20 PM

P: 1

Hello,
I was solving a vector & moments question as a part of my revision and got stuck somewhere. I really need your help.. some subquestions are solved, please correct me if I'm wrong. Here's the question (Its kinda long) : The freebody diagram shows three forces that act on a stone hanging at rest from two strings. (a) Calculate the horizontal component of the tension in each string. Why should these two components be equal in magnitude? String 1: =F cosθ = 1 x cos60 =0.5 N String 2: =F cosθ = 0.58 x cos30 = 0.5 N The components are equal in magnitude because the stone is at rest and there is no horizontal movement. (b) Calculate the vertical component of the tension in each string String 1: F Sin θ = 1 x sin60 = 0.87N String 2: F Sinθ = 0.58 x sin30 = 0.29N (c) Use your answer to (b) to calculate the weight of the stone = 0.87 + 0.29 N = 1.16N (Not sure about this answer) (d) Draw a vector diagram of the forces on the stone. This should be a triangle of forces I don’t know how to solve this one – please help! (e) Use your diagram in (d) to calculate the weight of the stone This one too.. help!! 


#2
Oct2712, 04:04 PM

Mentor
P: 11,631

The approach for c is fine. This will allow you to measure the length of the downwards force, too. 


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