(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Use W=Integral F.Tds

To find workdone when a particle is moved along the helix x=cost, y=sint, z=2t from (1,0,0) to (1,0,4pi) against a force F(x,y,z)=-yi+xj+zk = -sinti+costj+2tk ( substituting above)

2. Relevant equations

3. The attempt at a solution

Let rt = costi+sintj+2tk

r't= -sinti+costj+2k

Therefore W= Intergral(0tp4pi)[ <-sint,cost,2>.<-sint,cos t,2t>=Intergal[sin^2t+cos^2+2t] = [t+2t^2]from 0 to 4pi

Giving the answer 4pi+32pi^2

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# Homework Help: Please verify my answer!

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