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Static friction and centripetal force

  1. Sep 14, 2011 #1
    1. The problem statement, all variables and given/known data
    "If the coefficient of static friction between the block of mass m and the turntable is [itex]\mu_s[/itex], determine the maximum constant angular velocity of the platform without causing the block to slip." I'm actually using this problem to understand why I'm getting the wrong answer to another question, unfortunately the book doesn't actually say if I have the right answer to THIS one. r is the radius, of course.


    2. Relevant equations
    [itex]f = \mu_s F_{n}\

    F = m r \omega^2 \

    \sum F = F_1 + F_2

    F_{n} = m g[/itex]


    3. The attempt at a solution
    Using summation, I set the static friction force equal to the centripetal force for equilibrium and solved for [itex]\omega[/itex].
    [itex]\omega = \sqrt{{\mu_s g}/{r}}[/itex]
     
  2. jcsd
  3. Sep 14, 2011 #2

    PeterO

    User Avatar
    Homework Helper

    That final expression looks OK.
     
  4. Sep 14, 2011 #3
    Thanks!
     
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