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Write down the integral for the moment of inertia of a
Chapter 10, Problem 10.17(choose chapter or problem)
Write down the integral for the moment of inertia of a uniform ellipsoid with surface (x /a )2 + (Y1b)2 (z/c)2 = 1 for rotation about the z axis. One simple way to do the integral is to make a change of variables to = xla,17 = y/b, and = z/c. Each of the two resulting integrals can be related to the corresponding integrals for a sphere (as in 10.11). Do this. Check your answer for the case a = b =c.
Questions & Answers
QUESTION:
Write down the integral for the moment of inertia of a uniform ellipsoid with surface (x /a )2 + (Y1b)2 (z/c)2 = 1 for rotation about the z axis. One simple way to do the integral is to make a change of variables to = xla,17 = y/b, and = z/c. Each of the two resulting integrals can be related to the corresponding integrals for a sphere (as in 10.11). Do this. Check your answer for the case a = b =c.
ANSWER:Step 1 of 4
The moment of inertia for rotation about the 
If we make the suggested change of variables, then 