Find the moments of inertia for the wire of density p. A wire lies along r(t) = a cos(t)i + a sin(t)j, 0 ≤ t ≤ 2π and a > 0, with density p(x, y) = 1. The moments of inertia about the x and y axes are given by 1x = Sc lve 12 and Iy = √(x² p(x, y) ds p(x, y)ds
Find the moments of inertia for the wire of density p. A wire lies along r(t) = a cos(t)i + a sin(t)j, 0 ≤ t ≤ 2π and a > 0, with density p(x, y) = 1. The moments of inertia about the x and y axes are given by 1x = Sc lve 12 and Iy = √(x² p(x, y) ds p(x, y)ds
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![Find the moments of inertia for the wire of density p.
A wire lies along r(t) = a cos(t)i + a sin(t)j, 0 ≤ t ≤ 2π and a > 0, with density p(x, y) = 1.
Ix
Iy
=
||
The moments of inertia about the x and y axes are given by
Ix Jo
=
y² p(x, y) ds
and
¹y = √ex x² p(x, y)ds
2απν2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c3592c0-3a06-4a30-a95f-c9eb1d9570de%2Fa091c9b9-d25f-4332-b0dc-cbdf7795c491%2F1lou4ui_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the moments of inertia for the wire of density p.
A wire lies along r(t) = a cos(t)i + a sin(t)j, 0 ≤ t ≤ 2π and a > 0, with density p(x, y) = 1.
Ix
Iy
=
||
The moments of inertia about the x and y axes are given by
Ix Jo
=
y² p(x, y) ds
and
¹y = √ex x² p(x, y)ds
2απν2
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