Calculate the Net Force Acting on the Object.

  1. 1. The problem statement, all variables and given/known data
    You have to calculate the net force acting on a wagon that is being pulled by two seperate forces.

    Roping being pulled: 12N /32°
    |-----------------| /
    | |------------
    |-----------------| \

    Rope being pulled: 15 N / 24°

    2. Relevant equations
    This question has stumped me! For other ones I had to use:

    a^2 = b^2 + c^2
    Sin A/a = Sin B/b = Sin C/c
    c^2 = a^2 + b^2 - 2abCosC

    3. The attempt at a solution
    I have no idea where to start for this PF! I'm sorry! Any help would be greatly appreciated! The other questions I had were easy triangles but this I just can't seem to do.
     
  2. jcsd
  3. tiny-tim

    tiny-tim 26,054
    Science Advisor
    Homework Helper

    Welcome to PF!

    Hi Lewis_44! Welcome to PF! :wink:

    Let's see… you've drawn a triangle with sides 12 15 and and x (unknown) …

    can you describe this triangle (or copy it)?

    ie which angles are where? :smile:
     
  4. Hi Lewis_44, You are giving newtons and degrees
    since this is acting on a train, I suppose you are looking for the net force 'along the path of the train' that would be the sum of the projections of the forces for which you have the magnitude and the angle with respect to said path.
    Try to find those projections, this is just basic trigo, and add the values

    Cheers...
     
  5. Re: Welcome to PF!



    Thank you so much for trying to help me! :D I've attached a picture on paint
     

    Attached Files:

  6. tiny-tim

    tiny-tim 26,054
    Science Advisor
    Homework Helper

    ah, no …

    to apply those equations (in your question), you need to draw a vector triangle :wink:

    (if you don't know what that is, look it up in the PF Library or in wikipedia)
     
  7. Hello Tiny-Tim!

    I have a question that's kind of like this... do I have to use the vector triangle as well?
     

    Attached Files:

  8. Hi Tiny-tim
    It seems to me that his drawing confirms what I was supposing.
    There is no need to make vector aditions, I believe this is a simple problem of getting the net force 'along the rails', so just adding the two magnitudes time their respective cosines should do the trick.
    Do I miss something ?

    Cheers...
     
  9. tiny-tim

    tiny-tim 26,054
    Science Advisor
    Homework Helper

    Welcome to PF!

    Hello TheGibby13! Welcome to PF! :smile:

    You never have to use a vector triangle, you can always use components instead.

    (Lewis_44 only had to if he wanted to use those trig equations)

    Of course, your lines should always have arrows on them, and they should make a closed triangle! :wink:
     
  10. Ohh okay! Thank you tiny-tim! :D
     
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