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slega [8]
3 years ago
10

What is a rarefraction?

Physics
1 answer:
lidiya [134]3 years ago
3 0
<span>diminution in the density of something, especially air or a gas.</span>
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A thin, rectangular sheet of metal has mass M and sides of length a and b. Find the moment of inertia of this sheet about an axi
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Answer:

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Explanation:

The moment of inertia is equal:

I=\int\limits^a_b {r^{2} } \, dm

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and dm=\frac{M}{a} dr

I=\int\limits^a_b {r^{2}\frac{M}{a}  } \, dr\\a=\frac{a}{2} \\b=-\frac{a}{2}

I=\frac{M}{a} \int\limits^a_b {r^{2}  } \, dr\\\\I=\frac{M}{a} (\frac{M}{3} )_{b}^{a}\\  I=\frac{M}{3a} (\frac{a^{3} }{8} +\frac{a^{3} }{8} )\\I=\frac{M}{12} a^{2}

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