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Introductory Physics Homework Help
Solving a Problem with an Easier Way: Moving the Origin
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[QUOTE="ChiralSuperfields, post: 6846943, member: 731016"] [B]Homework Statement:[/B] Please see below [B]Relevant Equations:[/B] Please see below For this problem, [ATTACH type="full" alt="1674687875420.png"]321134[/ATTACH] The solution is [ATTACH type="full" alt="1674687925394.png"]321135[/ATTACH] However could the bracket circled in red also be ## (x - \frac {L} {2})^{2} ## since the terms are squared? Also if anyone else knows a simpler way to solve this problem please let me know. I though an easier way to solve this problem would be moving the origin such that it is in the middle of the rod then: ## dV = \frac {k_e dx} {x} ## Then integrate over rod from ## \frac {-L} {2} ## to ## \frac {L} {2} ## to get: ##V = k_e\log_eL ## since ##-In(-L)## is undefined. I guess the authors must of knew this and decided to have the origin at the left of the rod. Anybody else agree with that? Many thanks! [/QUOTE]
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Solving a Problem with an Easier Way: Moving the Origin
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