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Rectilinear Motion

  1. Jan 10, 2012 #1
    1. The problem statement, all variables and given/known data

    Find velocity and position as functions of time t for a particle of mass m, which starts from rest at x=t=0, subject to the following force functions.

    a) F=Fosin(ct)


    2. Relevant equations

    F=ma

    3. The attempt at a solution

    a) a=Fosin(ct)/m

    dv/dt = Fosin(ct)/m

    ∫dv = ∫Fosin(ct)/m dt

    v = -Fo(cos(ct))/mc

    integrate again

    x+ Fo(sin(ct))/(mc^2)


    This solutions manual says the answer is
    v=(Fo/cm)(1-cos(ct)
    x=(Fo/mc^2)(ct-sin(ct))
     
  2. jcsd
  3. Jan 10, 2012 #2
    Look at your expression for v(t), remember that you want it to be at rest at t=0.
     
  4. Jan 10, 2012 #3
    I understand now, thanks
     
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