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Unformatted text preview: e in them where j = l = 1 will be zero. So there is no reason to consider l = 1 here. So we just sum up the terms where l = 2 and l = 3: (same as before) Let: l = 3 Note that any term where k = l then ε is zero Next Let: l = 2 Total Force: Example Only need to look at values of i = 1,3,6 Force becomes: Since velocity is then Now the only nonzero terms are for l = 2 therefore Slender Body Added Mass Matrix Figure removed for copyright reasons. Please see: Table 4.3 in Newman, J. "AddedMass Coefficients for Various Two Dimensional Bodies." In Marine Hydrodymanics . Cambridge MA: MIT Press, 1977. ISBN: 0262140268....
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 Fall '05
 AlexandraTechet
 Addition, Vector Space, Force, General Relativity, Tensor, Prof. A. Techet

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