(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

An object is at equilibrium if all the forces on it add up to zero. There's a beam which weights 124N 40degrees above the horizontal that is supported in equilibrium by a 100-N pull 30degrees above the beam and a force F at the floor. The third force on the beam is the 124-N wight that acts vertically downward.

The question is use vector components to find the magnitude and direction of F.

They give the weight of the beam vector A124N which is at 40 degrees above the horizontal

and the Vector B100-N force pulling on it 30 degrees above the beam.

There's another vector pulling on itVector F.

2. Relevant equations

vector F= VectorA+Vector B

3. The attempt at a solution

I found the vector components of vectors A and B which was for A 124cos40 and 124 sin40 and for B 100Cos70 and 100sin70 wich were Ax=94.9 and Ay79.7 and Bx=34 By=93.9 then I subtracted Ax-Bx and Ay-By to find the resulting forces acting on the floor and I get a resultant vector with a magnitude of 62.5 N but in the back of the book they get 49N. Can somebody tell me where am I wrong or what else do I need to do. Any help will be useful

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# Equilibrium. Vectors and resultant forces.

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