Recent content by ashapi

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    Graduate How is a 3D Mass-Spring-Damper System Expressed in Mathematical Physics?

    how would you do the same for an n-dimensional case?
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    N-D spring-mass damper total energy

    My latex seems to bug out sometimes so if it looks weird please click on the source but let me continue... KEtot,2D = \frac{1}{2}(m11\dot{x}12 + m22\dot{x}22 + m12\dot{x}1\dot{x}2)PEtot = \frac{1}{2}(m11{x}12 + m22{x}22 + m12{x}1{x}2) I took the generalized forms to be: KEtot,nD =...
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    N-D spring-mass damper total energy

    Homework Statement I am trying to derive the total energy for an n-dimensional linear (Hookeian) spring-mass damper system and show that the total energy is either decreasing or constant. Homework Equations 1D spring-mass damper equation n-D spring-mass damper equation The Attempt at...