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!

Friction ( Inclined plane)

  1. Aug 6, 2011 #1
    1. The problem statement, all variables and given/known data
    A body of weight [tex]W[/tex] rests on a rough inclined plane and a force [tex]P[/tex] acting at angle [itex]\alpha[/itex] with the inclined plane just prevents the body from sliding down . If the inclined plane makes an angle [itex]\phi[/itex] with the horizontal , prove that

    [tex]P = W\frac{sin(\phi - \lambda)}{cos(\alpha + \lambda)} [/tex]

    where [itex]\lambda[/itex] is the angle of friction.

    2. Relevant equations

    [tex] F = \mu N [/tex]

    3. The attempt at a solution

    I just don't know where to start . Any hints would be appreciated.
     
  2. jcsd
  3. Aug 6, 2011 #2

    gneill

    User Avatar

    Staff: Mentor

    Start with determining how [itex]\lambda[/itex] is related to [itex]\mu[/itex]. Then use a Free Body Diagram to identify all the forces involved, and how they must combine to achieve a static condition (no motion for the block). Solve for P.

    There will be some simple trig identities involved in simplifying the expression for P.
     
  4. Aug 7, 2011 #3
    Thanks gneill , I finally proved it !
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Friction ( Inclined plane)
Loading...