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p0ps1c1e
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Homework Statement
Two identical, uniform beams weighing 260 N each are connected at one end by a friction-less hinge. A light horizontal crossbar attached at the midpoints of the beams maintains an angle of 53 degrees between the beams. The beams are suspended from the ceiling by vertical wires such that they form a "V".
What force does the crossbar exert on each beam?
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Here is the free body diagram I drew with the symbols I used as well.
http://imgur.com/aFndxKR
Homework Equations
Στ = 0
ΣF = 0
3.
So I thought to break this problem into two and just focus on one of the beams pivoting about point A and then solve for N1. I called the length of the beam L. I feel like I messed up the angles though
Doing that I came up with the equations...T - mg - N1*sin(53) = 0
T * L cos(37)-mg*(L/2)*cos(37) - N1*(L/2) = 0
Then I thought to solve for N1 but I don't know the length L so I got stuck there
T = mg + N1sin(53) and T = (N1*(L/2) + mg*(L/2)*cos(37)) / L*cos(37)Can somebody give me a hint?
Thanks
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