- #1
iAlexN
- 16
- 0
Given the force (derived from a potential in planar polar coordinates)
[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!
[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!