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Derive the kinetic energy of a mass on two springs

  1. May 1, 2016 #1
    1. The problem statement, all variables and given/known data
    Hi

    I want to derive the equation of kinetic energy for a mass on two springs .. Here is the figure of the system:
    http://faculty.ndhu.edu.tw/~clcheng/class-98/gen-phy98/gen-phy98-1-Q2s.pdf

    Am I doing right for calculating the kinetic energy for the mass on two springs ?



    2. Relevant equations

    ΔK = ∫ F(x) · dx


    3. The attempt at a solution

    My attempt to solve the kinetic equation is by using this formula :

    ΔK = ∫ F(x) · dx

    so ΔK = (-2kx^2)/2 + ∫ 2kxL/(√(x^2 + L^2)) = (-2kx^2)/2 + 2kL*√(x^2 + L^2)

    Am I doing right for calculating the kinetic energy for the mass on two springs ?

    Thanks
     
  2. jcsd
  3. May 4, 2016 #2

    Andrew Mason

    User Avatar
    Science Advisor
    Homework Helper

    Hi Ramialsaiad,

    What are the limits for your integral?

    You have to integrate between, say, x0 and x. To determine the actual KE at a given point you would need to start at the value for x0 where KE = 0.

    AM
     
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