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Lecture5 VectorOperators: Grad,DivandCurl - Lehman
www.lehman.edu2) r(= x^ı+y^ +z^k) 3 3) r=r3 0 4) rc,forc constant (r c)=r Weworkthroughexample3). Thexcomponentofr=r3 isx:(x2 +y2 +z2) 3=2,andweneedtofind@=@xofit. @ @x x:(x2 +y2 +z2) 3=2 = 1:(x2 +y2 +z2) 3=2 +x 3 2 (x2 +y2 +z2) 5=2:2x = r 3 1 3x2r 2: (5.18) Thetermsinyandzaresimilar,sothat div(r=r3) = r 3 3 3(x2 +y2 +z2)r 2 = r 3 (3 3) (5.19) = 0 5.4 ...
Lecture5 Hydrostatic Force on a Plane Surface
fluid.itcmp.pwr.wroc.plHydrostatic Force on a Plane Surface Henryk Kudela When a surface is submerged in a fluid, forces develop on the surface due to the fluid. The determination of these forces is important in the design of storage tanks, ships,