1. Limited time only! Sign up for a free 30min personal 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!

Resultant force #2

  1. Jul 22, 2013 #1

    Zondrina

    User Avatar
    Homework Helper

    1. The problem statement, all variables and given/known data

    I need to calculate the resultant force ##\vec{F}_R## for the following :

    http://gyazo.com/5f2d7aad6aaed178135909480016e04a

    I had another thread where I clarified a few things I hope will be good now.

    2. Relevant equations



    3. The attempt at a solution

    So first I should get my components. There are three vectors to consider by the looks of the diagram.

    ##F_N = 8N + 17Ncos(45°)##
    ##F_S = 10N##
    ##F_W = 17Nsin(45°)##

    Let ##F_V## denote the final vertical force. Note that I switch the direction of south to north as to add the vectors together :

    ##F_V = F_N - F_S = -2N + 17Ncos(45°) = 10.02N##

    ##∴\vec{F}_V = 10.02N [N]##

    Thus ##F_R = \sqrt{(10.02N)^2 + (17Nsin(45°))^2} = 15.65N##.

    To find the direction of ##F_R## consider :

    ##tan(θ) = \frac{10.02N}{17Nsin(45°)}##
    ##∴ θ = 39.81°##

    ##∴ \vec{F}_R = 15.65N [W 39.81° N]##

    I hope all the arrows and the contexts are okay now.
     
  2. jcsd
  3. Jul 22, 2013 #2

    Redbelly98

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    Looks good -- if "W 39.81° N" means 39.81° north of due west.
     
  4. Jul 22, 2013 #3

    Zondrina

    User Avatar
    Homework Helper

    Yup, I opt to read from right to left when using that notation.

    Thanks for looking over it :)
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Resultant force #2
  1. Resultant Force (Replies: 9)

  2. Resultant Force (Replies: 9)

  3. Resultant Force (Replies: 4)

  4. Resultant Forces (Replies: 3)

Loading...