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$\begingroup$ "Is there some trick I am missing to explain..." Isn't this explained in the paragraphs following his statement about virtual work and forces? I.e., the paragraphs starting off with: "We can show for our rectangular loop that $U_{mech}$..." $\endgroup$– hftCommented Apr 3 at 18:35
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$\begingroup$ But in other words he had to check explicitly that $U_\mathrm{mech}$ was also the work done in bringing in the dipole? It wouldn't be safe to just assume this to be so? $\endgroup$– GhorbalchovCommented Apr 3 at 18:37
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$\begingroup$ I am asking because my lecturer did just that; derived the force from the torque without further elaboration like Feynman. $\endgroup$– GhorbalchovCommented Apr 3 at 18:40
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$\begingroup$ If you already know the answer then it is safe to assume so... but I think he is trying to explain why this is safe... This seems to be what he is saying in the two sentences surrounding his Eq. 15.11. $\endgroup$– hftCommented Apr 3 at 18:40
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$\begingroup$ Hard to say why your lecturer did what they did. $\endgroup$– hftCommented Apr 3 at 18:42
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