A lamina with constant density p(x, y) = p occupies the given region. Find the moments of inertia I, and I, and the radii of gyration and ÿ. the rectangle 0≤x≤ 4b, 0 ≤ y ≤ 4h Ix = < ܠ ܂ = x = צוו = 256 3 256 3 4h √3 4b √3 X X X X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A lamina with constant density p(x, y) = p occupies the given region. Find the moments of inertia I, and I, and the radii of gyration and y.
the rectangle 0 ≤ x ≤ 4b, 0 ≤ y ≤ 4h
X
11
IIA
=
x =
=
256
3
256
3
4h
√3
4b
√3
X
X
X
X
Fill
Transcribed Image Text:A lamina with constant density p(x, y) = p occupies the given region. Find the moments of inertia I, and I, and the radii of gyration and y. the rectangle 0 ≤ x ≤ 4b, 0 ≤ y ≤ 4h X 11 IIA = x = = 256 3 256 3 4h √3 4b √3 X X X X Fill
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