Need to show that the vertical displacement of a particle on a spring is(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \ddot{x} + 100x = 0 [/tex]

[tex] \frac{1}{2}kx^2 + \frac{1}{2}m\dot{x}^2=C [/tex]

[tex] k\dot{x}x + m\dot{x}\ddot{x}=0[/tex]

Then since m=0.4, k=40.

[tex] \ddot{x}+100x=0 [/tex]

what has happened to gravitational potential energy? why isnt it included in the potential and kinetic energy?

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# Homework Help: Springs and shm

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