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Vectors and moments (Vector diagram, horizontal/vertical components, weight)
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Oct27-12, 02:20 PM
I was solving a vector & moments question as a part of my revision and got stuck somewhere. I really need your help.. some sub-questions are solved, please correct me if I'm wrong.
Here's the question (Its kinda long) :
The free-body 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
(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!!
Oct27-12, 04:04 PM
The approach for c is fine.
This will allow you to measure the length of the downwards force, too.
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