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Solution to Classical Mechanics Problem: Removing Constant Terms
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[QUOTE="rmfw, post: 4722864, member: 489282"] Ayo everybody, I'm doing a problem about theory of small oscilatons (see pic) and I got the following for potential energy: [itex] V= mg(\frac{l_{2}}{2} +\frac{l_{1}}{2} \theta^{2}_{1} + \frac{l_{2}}{4} \theta^{2}_{2}) [/itex] (after the aproximation [itex] cos \theta [/itex]~ [itex]1 - \frac{\theta^{2}}{2} [/itex] Knowing that [itex] V = \frac{1}{2} V_{jk} \theta_{jk} [/itex] I need to write the matrix [itex] V_{jk}[/itex] Since the term [itex] mg\frac{l_{2}}{2} [/itex] is constant, can I remove it from the potential ? And write the matrix like this: [itex] V_{jk} =mg \begin{pmatrix} l_{1} & 0 \\ 0 & \frac{l_{2}}{2} \\ \end{pmatrix} [/itex] If not, how can I remove the constant term? [/QUOTE]
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Solution to Classical Mechanics Problem: Removing Constant Terms
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