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!

Maximum value of F - SIN Waterloo Contest

  1. Jan 9, 2013 #1
    1. The problem statement, all variables and given/known data

    Superman is regaining his strength by pulling with a force F on a large block of mass M resting on a frictionless floor as shown. A small block of mass m rests on the upper surface of the large block, and there is friction at that surface, with static coefficient μ. Lois Lane has tied the small block to the wall with a light strong cable sloping up at an angle ∅. Everything is shown on the sketch, and things that look horizontal are. What is the maximum value of F before something slips? (Answers in Newtons)

    ∅- 60°
    m=250kg
    M=450kg
    μ=0.5

    Possible answers;

    a) 1230

    b) 1094

    c) 946

    d) 829

    e) 656

    *Check attachment for a picture.

    2. Relevant equations

    F=ma, Ff=Fnxμ,Fnet=F1+F2+F3

    3. The attempt at a solution

    I drew the FBDs for both masses, but I do feel i did something wrong.

    for mass m, I had Tcos60° upwards, Tsin60° to the right, Ff to the left, and Fg facing down.

    for mass M, I had Fg facing down, Fn facing up, and Fnm [Normal force of mass m] also facing down.

    That's as far as I got.

    *The picture is upside down, sorry!
     

    Attached Files:

  2. jcsd
  3. Jan 9, 2013 #2

    haruspex

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    I think you have the cos and sin swapped.
    You've left out the horizontal forces on mass M.
    Please write out the static force equations for the two directions one each mass. You know what Fg is for each mass, so don't write it in that form (especially as having two forces with the same name is confusing).
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Maximum value of F - SIN Waterloo Contest
  1. 2007 F=ma Contest (Replies: 2)

  2. Find the maximum value (Replies: 2)

Loading...