(3) Consider a wire in the shape of a semi circle of radius 2, given by x² + y² = 4 and y ≥ 0. Suppose the density of the wire is given by o (x, y) = y. (a) Find the mass of the wire.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(3) Consider a wire in the shape of a semi circle of radius 2, given by x² + y²
the density of the wire is given by o (x, y) = y.
(a) Find the mass of the wire.
(b) Find the y coordinate of the center of mass of the wire.
2
= 4 and y ≥ 0. Suppose
Transcribed Image Text:(3) Consider a wire in the shape of a semi circle of radius 2, given by x² + y² the density of the wire is given by o (x, y) = y. (a) Find the mass of the wire. (b) Find the y coordinate of the center of mass of the wire. 2 = 4 and y ≥ 0. Suppose
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