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goblinko [34]
3 years ago
11

A jet flies at an altitude of 52,800 feet. What is the jets height in miles?

Mathematics
1 answer:
WITCHER [35]3 years ago
5 0
Hi, I have an answer for you, hope is O.K.

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A lamina with constant density rho(x, y) = rho occupies the given region. Find the moments of inertia Ix and Iy and the radii of
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Answer:

Ix = Iy = \frac{ρπR^{4} }{16}

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Step-by-step explanation:

Given: A lamina with constant density ρ(x, y) = ρ occupies the given region x2 + y2 ≤ a2 in the first quadrant.

Mass of disk = ρπR2

Moment of inertia about its perpendicular axis is \frac{MR^{2} }{2}. Moment of inertia of quarter disk about its perpendicular is \frac{MR^{2} }{8}.

Now using perpendicular axis theorem, Ix = Iy = \frac{MR^{2} }{16} = \frac{ρπR^{4} }{16}.

For Radius of gyration K, equate MK2 = MR2/16, K= R/4.

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