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Need help with determining acceleration when given a distance

  1. Feb 25, 2012 #1
    1. The problem statement, all variables and given/known data
    A machine has a steel shuttle with mass m that is pulled along a vertically positioned square steel rail by a spring with a spring constant k. The shuttle is released when the spring acts on the shuttle with force equal to F at a 45 degree angle.
    a) what is the initial acceleration of the shuttle?
    b) what will be the acceleration of the shuttle after it moved a distance L?

    2. Relevant equations

    F=ma ; X=vt+(1/2)at^2 ; u_k(n)=f_k ;

    3. The attempt at a solution
    For A
    Ʃx= K*cos(45)-f_k=m_x*a

    a= (kcos45-uk(mg-Ksin45))/m
    a= (t/m)(kcos45-ksin45)(uk*g)

    For B)
    Wouldn't it just be my a_1 subtracted by the new value of a?
    I was thinking since theta is going to change with the elastic band.
  2. jcsd
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