(a) A thin wire is in the shape of a parabola y = 4 x...
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(a) A thin wire is in the shape of a parabola y = 4 – x² from (-1, 3) to (2,0). If p(x,y) = x(4 – y) is the variable mass density of the wire, then find the mass of the wire. (b) State Green's theorem. Use Green's theorem to find the work done by the variable force field F(x, y) = (e* + 2y)i + (e – x) j on a particle that travels along the closed path x2 + y² = 9 in the anti-clock wise direction. (a) A thin wire is in the shape of a parabola y = 4 – x² from (-1, 3) to (2,0). If p(x,y) = x(4 – y) is the variable mass density of the wire, then find the mass of the wire. (b) State Green's theorem. Use Green's theorem to find the work done by the variable force field F(x, y) = (e* + 2y)i + (e – x) j on a particle that travels along the closed path x2 + y² = 9 in the anti-clock wise direction.
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Related Book For
University Physics with Modern Physics
ISBN: 978-0321501219
12th Edition
Authors: Hugh D. Young, Roger A. Freedman, Lewis Ford
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