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Statics of body in two dimensions

  1. Oct 12, 2011 #1
    1. The problem statement, all variables and given/known data

    5nlk3q.jpg

    2. Relevant equations

    A 50 lb force is applied to a corner plate as shown. Determine an equivalent system consisting of a 150 lb force at B and another force at A.

    3. The attempt at a solution

    There is an algebraic solution to the problem, but I was wondering if it was possible to solve this problem using a table of moments and forces?

    the Fx = 25 lb and Fy = 43.3 lb.

    Thanks
     
  2. jcsd
  3. Oct 12, 2011 #2
    First write down what you know.

    We have a force at B and a force at A with components,

    Bx, By, Ax, Ay.

    We know the magnitude of B is √(Bx^2 + By^2) = 150 lbs.

    We are given a force F = Fx i + Fy j

    You know Fx = Ax + Bx and Fy = Ay + By

    And we can take moments about points A and B (and at the point where F acts) to get two (three) more equations.

    Its just a lot of algebra after that?
     
    Last edited: Oct 12, 2011
  4. Oct 12, 2011 #3
    a table like this:

    2ylwyth.jpg

    if course it wouldn't be measured in kips, it would be measured in lbs.
     
  5. Oct 13, 2011 #4
    intoo9.jpg

    Let's abandon the table idea. Can someone explain to me why, in the solution to this problem, (part b) they say "Having found the direction of the forces P and P', we complete the solution..."

    when as you can see in the photo, there is no indication of the direction of the force P', although P was solved for. (the solution seems to come after this sentence which confuses me). Thanks.

    2qv6uzm.jpg

    this is the missing information. Please help; there are no tutors available for this course, the teacher isn't available, and its getting extremely hard to find help.
     
    Last edited: Oct 13, 2011
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