15_3_5 - 5. : r = et cos ti + et sin tj + tk, 0 t 2 ). ds =...

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Unformatted text preview: 5. : r = et cos ti + et sin tj + tk, 0 t 2 ). ds = = The moment of inertia of e2t (cos t - sin t)2 + e2t (sin t + cos t)2 + 1 dt 1 + 2e2t dt. about the z-axis is (x 2 + y 2 ) ds I = = = 4 2 0 e2t 1 + 2e2t dt 1+2e4 u du = Let u = 1 + 2e2t du = 4e2t dt 3 1+2e4 3 = u 3/2 6 (1 + 2e4 )3/2 - 33/2 . 6 ...
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This note was uploaded on 03/08/2012 for the course MATH 120 taught by Professor Onurfen during the Spring '12 term at Middle East Technical University.

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