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MT-1620 al.2002 W G k Gi-ky dx Gfow dx dx We further know that dw =w=0 around closed contour So we re left with τds=Gkd{xd Paul A Lagace @2001 Unit 12-7 MIT - 16.20 Fall, 2002 ⇒ = ∫ τ ds ∫ G kx +  + ∫ dy ∂w G −ky + ∂wdx  ∂y   ∂x   +  + ∫ dx dy Gk ∫ ∂w ∂w  = G {xdy − ydx}  ∂x ∂y  = dw We further know that: ∫ dw = w = 0 around closed contour  So we’re left with: ∫ τds = Gk ∫ {xdy − ydx} Paul A. Lagace © 2001 Unit 12 - 7
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