Find the center of mass of a thin wire lying along the curve 3 2 k, 0st≤2 if the density is 8=1√41+t.. r(t) = 5ti + 4tj+ (³3)₁ (x,y,z) = ( (Type exact answers, using radicals as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the center of mass of a thin wire lying along the curve
3
2
tk, 0st≤2 if the density is 8=1√41+t.
r(t) = 5ti + 4tj +
(
2
(³3) ₁²
(x,y,z) =
(Type exact answers, using radicals as needed.)
Transcribed Image Text:Find the center of mass of a thin wire lying along the curve 3 2 tk, 0st≤2 if the density is 8=1√41+t. r(t) = 5ti + 4tj + ( 2 (³3) ₁² (x,y,z) = (Type exact answers, using radicals as needed.)
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