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Spring Dynamic Kinematics - acceleration

  1. Oct 2, 2016 #1
    1. The problem statement, all variables and given/known data

    2.26_zpsrtzbm2wr.png
    2. Relevant equations
    Standard physics equations before forces are introduced into kinematics
    U1L6a1.gif

    3. The attempt at a solution

    I simply looked at Chegg and could not figure out how

    a = 400 - kx

    when logic dictates that

    a = 400 - kx/m

    , since this is possibly a sum of forces. Otherwise, it is lost to me how

    F= -kx

    is suddenly an acceleration quantity. Could someone explain that one line? Everything makes sense save for how

    kx

    stands alone in an acceleration equation. A classmate of mine who took this class before explained to me that in my dynamics class, mass is dropped from the equation when mass is not relevant to the question. However, he could not describe the reasoning behind it, so I was left somewhat unsatisfied by the answer.
     
  2. jcsd
  3. Oct 2, 2016 #2

    TSny

    User Avatar
    Homework Helper
    Gold Member

    In the solution, ##k## does not represent the spring constant. It just represents a constant in the linear relation between ##a## and ##x##.
     
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