Given the force (derived from a potential in planar polar coordinates)(adsbygoogle = window.adsbygoogle || []).push({});

[tex]F(p,w) = 2p+sin(w)e_p+cos(w)e_w [/tex] Where e_p and e_w are unit vectors

How do I calculate the line integral over a circumference that is defined as:

p = 2

0 ≤ w ≤ 2pi

Using the definition of a line integral [tex] \int_0^{2pi} \! F(p,w) . \, \mathrm{d}r [/tex]

What confuses me though is what the "dr" term would be in this case? Do I need to do some form of parametrisation, in that case, how?

Thank you!

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# Line integral around a circle, using polar coordinates

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