Derive the kinetic energy of a mass on two springs

  • #1

Homework Statement


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 ?



Homework Equations



ΔK = ∫ F(x) · dx


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
 

Answers and Replies

  • #2
Andrew Mason
Science Advisor
Homework Helper
7,714
419
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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