Thread: work - calculus
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Old November 1st, 2007, 07:45 AM
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Quote:
Originally Posted by kittycat View Post
given the force vector field F = <y,a> .
Find the work in moving an object through the vector field along the closed curve C formed by the arc of the ellipse x=acost , y=bsint, lying in the first quadrant, the x-axis, and the y-axis.

Please help me. thank you very much.
Quote:
Originally Posted by kalagota View Post
have you checked the previous post about work?
so,
r(t) = x(t)i + y(t)j = (a \cos t)i + (b \sin t)j
where t is from 0 to \, \frac{\pi}{2}
and
F(x,y) = yi + aj
Assuming kalagota is right and F(x,y) = yi + aj is what is meant by F = <y,a> what field of study did you get this notation from. I'm sure that I'm not the only person at least partialy mystified by this notation

RonL
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