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Let R be a region in the xy-plane that is bounded by a piecewise smooth simple closed curve C and suppose that the moments of inertia of R about the x- and y-axes are known to be I, and ly. Evaluate the following integral in terms of I, and ly. v (4) •n ds where r = √2x² + 6y² с $v (r). •n ds =

Let R be a region in the xy-plane that is bounded by a piecewise smooth simple closed curve C and suppose that the moments of inertia of R about the x- and y-axes are known to be I, and ly. Evaluate the following integral in terms of I, and ly. v (4) •n ds where r = √2x² + 6y² с $v (r). •n ds =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let R be a region in the xy-plane that is bounded by a piecewise smooth simple closed curve C and suppose that the moments of inertia of R about the x- and y-axes are known to be Ix and ly. Evaluate the following integral in terms of Ix and ly. $v (14) •n ds where r = √√2x² + 6y² с $v (1¹4) •nds= с
Transcribed Image Text:Let R be a region in the xy-plane that is bounded by a piecewise smooth simple closed curve C and suppose that the moments of inertia of R about the x- and y-axes are known to be Ix and ly. Evaluate the following integral in terms of Ix and ly. $v (14) •n ds where r = √√2x² + 6y² с $v (1¹4) •nds= с
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