1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Vector Problem

  1. Sep 18, 2005 #1
    Hey everyone,

    My math teacher gave us the following vector problem:

    "Three coplanar forces of xN, 10N, and 20N act on a body and maintain it in a state of equilibrium. If the x-N force acts along the horizontal and the 10-N force at an angle of 60 degrees to the horizontal, find the value of x and the direction of the 20-N force, correct to one decimal place."

    I drew my diagram, and it doesn't look overly difficult. However I am wondering if there are multiple answers to the question. From the way I have set it up, I can simply choose any value for theta (the angle of the 20N force relative to the horizontal) and then solve for x.

    Here is a sketch of what my diagram looks like:

    Attached Files:

  2. jcsd
  3. Sep 18, 2005 #2


    User Avatar
    Homework Helper

    When you resolve the forcecs, you've got to be able to balance all the horizontal forces and all the vertical forces. So, you must ajust your angle to make this look feasible.

    How did you set it up - your attachment is not yet available for viewing, but I can imagine what it must look like.
  4. Sep 18, 2005 #3
    I get [tex]n=13[/tex] and angle of [tex]20N[/tex] to be [tex]244T[/tex]
  5. Sep 18, 2005 #4
    What do you mean 244T?

    I set it up so that xN was east, 10N was pointed SW (60 d to horizontal) and 20N was pointing NW, theta d to horizontal. all points are at the same place, acting on the same body, because they have to all cancel out in each of the x and y components to maintain equilibrium.
  6. Sep 18, 2005 #5
    The thing is, i can adjust xN to be any force, so no matter what angle the 20N force is (i have both 10N and 20N pushing against xN) i can compensate for it by adjusting x to cancel out the 20N and 10N that are pushing towards xN on their respective angles.
  7. Sep 18, 2005 #6
    here is a howto incase you get stuck
  8. Sep 18, 2005 #7
    OMG...I just reviewed my notes and realized that I drew my free-body diagram wrong!! I had the heads of the vectors at the body, instead of the tails! My physics teacher would be SO dissapointed! (not to mention my math teacher).

    Thank you for your help guys.
  9. Sep 20, 2005 #8


    User Avatar
    Science Advisor
    Homework Helper

    Some of the concepts of this exercise may come in handy for when you want to calculate how far your rockets have travelled (as Homer and Quentin found out). :wink:
  10. Sep 20, 2005 #9
    :smile: :cool: :tongue2:
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Vector Problem
  1. Vector problem (Replies: 8)

  2. Vector Problem (Replies: 3)

  3. Vector problem (Replies: 8)

  4. Vector problem (Replies: 1)