Calculating Equivalent Forces in Statics

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Huumah
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Homework Statement



Hand-drawn free-body sketch of a slender beam on grid paper, tilted at 55 degrees to a sloped surface, with a force P applied at its upper end at 20 degrees to the beam.


Replace the force for by the equivalent of two forces parallel at the dot and the other perpendicular to the beam.

The force P is 2000 N

Determine the forces!

Homework Equations



Fx= P*cos(x) =
Fy= P*sin(x) =

The Attempt at a Solution



Fx= 2000 N* cos(75)= 0.517 kN
Fy= 2000 N* sin(75) = 1.93 kNAm I on the right track? It's just the angle that I'm not sure about.
 
Does this look right?
 
Attachments
  • Handwritten diagram of a force P along a line at 35 degrees, split into components P parallel and P perpendicular, with equations P parallel = P cos 35 and P perpendicular = P sin 35, and a check of P parallel squared plus P perpendicular squared against P squared.
    aaaaa122.jpg
    12.3 KB · Views: 474
Yes. This looks better. I can't believe i didn't think to check on what Pythagoras thought about my solution.

Thank you!