Moments of Inertia In Exercises 59 and 60, set up a triple integral that gives the

Chapter 14, Problem 59

(choose chapter or problem)

In Exercises 59 and 60, set up a triple integral that gives the moment of inertia about the z-axis of the solid region Q of density \(\rho\).

\(Q=\{(x, y, z):-1 \leq x \leq 1,-1 \leq y \leq 1,0 \leq z \leq 1-x\}\)

\(\rho=\sqrt{x^{2}+y^{2}+z^{2}}\)

Text Transcription:

rho

Q ={(x, y, z): - 1 leq x leq 1,-1 leq y leq 1, 0 leq z leq 1 - x}

rho = sqrt{x^2 + y^2 + z^2}