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Forces and acceleration

  1. Sep 30, 2008 #1
    1. The problem statement, all variables and given/known data
    Mass m1=31.7 kg is on a horizontal surface, connected to mass m2= 5.30 kg by a light string as shown. The pulley has negligible mass and no friction. A force of 216.9 N acts on m1 at an angle of 29.3deg. The coefficient of kinetic friction between m1 and the surface is 0.221. Determine the upward acceleration of m2.

    [​IMG]



    2. Relevant equations
    F=ma
    Fn = mg-Fsin(theta)
    Fcos(theta)-(uk)(Fn) = ma

    3. The attempt at a solution
    First I found the normal force of M1. Fn = mg-Fsin(theta). I found Fn to be 204.513 N. Next, I found the acceleration of M1 by using [Fcos(theta)-(uk)(Fn)] / m = a. I got ax to be 4.54 m/s^2. I assumed that the acceleration would be the same for M2 but its not.
     
  2. jcsd
  3. Sep 30, 2008 #2

    Doc Al

    User Avatar

    Staff: Mentor

    You forgot to consider the string tension acting on the block. (The accelerations of M1 and M2 must be the same--they are connected by a string.)
     
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