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!

Work done by friction on an incline plane

  1. Mar 16, 2013 #1
    1. The problem statement, all variables and given/known data

    http://postimage.org/image/gprwhko37/

    Could someone check my work to make sure I'm doing this problem correctly?
    Where:
    s : hypotenuse or distance
    h : height
    uk : coef friction

    2. Relevant equations

    W = F*D
    Force Normal = mgcosθ
    Wfriction = (uk * N) * s(distance)

    3. The attempt at a solution
    Solve for θ to use to find force normal
    Sinθ = h / s
    θ = arcsin(h/s)

    Y component of weight of box = mgcos*arcsin(h/s)
    Fy = may = N - mgcos*arcsin(h/s)
    N = mgcos*arcsin(h/s)

    Then plug N into equation Wfriction = -uk * N * s
    Wfriction = -uk*mgcos*arcsin(h/s)*s
     
  2. jcsd
  3. Mar 16, 2013 #2

    rude man

    User Avatar
    Homework Helper
    Gold Member

    After a few extraneous equations, the result looks right.
     
  4. Mar 16, 2013 #3
    Thank you Rude man, but how would I remove the extraneous equations? Could you show me an alternate shorter way to go about doing this?

    Also, would I have to solve for a when using Fy = may = N - mgcos*arcsin(h/s)?
     
    Last edited: Mar 16, 2013
  5. Mar 16, 2013 #4

    rude man

    User Avatar
    Homework Helper
    Gold Member

    see above.
     
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: Work done by friction on an incline plane
Loading...