Equilibrium of a uniform bar inclined at an angle

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A uniform bar AB, 3 m long and weighing 40 N, is in equilibrium on a smooth inclined plane at angle alpha (tan alpha = 3/4) and against a smooth peg at point C. The discussion revolves around finding the reactions at points A and C, and the distance AC, using the provided angles and equations. Participants express confusion over the angles' orientations and the lack of friction coefficients, but clarify that the angles pertain to different objects. The importance of drawing a free body diagram is emphasized to resolve forces and moments acting on the bar, leading to the eventual solution of the problem. The conversation highlights the need for careful interpretation of the problem's geometry and the relationships between the forces involved.
  • #31
I've got the sum of forces in y and the moments. Just don't have the sum of forces in x.

Are the ones I have correct?
 
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  • #32
I'll let you work this problem out the most obvious way for now .

There is a more elegant method possible - perhaps we'll look at that later if you are interested .
 
  • #33
Yes I'd like to know what the way method is as well?
 
  • #34
Use the diagram in post #16 as a basis for doing a clear free body diagram for the bar .

Show us the three equations that you should now have and , if possible , your final solution .
 
  • #35
I already drew the free body diagram on the basis of post 16 and attached it in one of my previous posts and I already mentioned the 2 equations I get from the forces in the y direction and the moment around A, just doing it for the x direction now and that should give me the answer.
 
  • #36
Solved! Thank you
 

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  • #37
Good !
 
  • #38
Nidum said:
Good !
I know this is from a few months ago, but why do the normal vectors at C and A break up into components?
 
  • #39
I don't think this is right. The normal at A and C don't break up into components and what direction is the normal at A?
 
  • #40
Sorry, mind's a little messed up. nothing's wrong
 
  • #41
OK .
 
  • #42
Well done :)
 

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