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The moment of inertia, or rotational inertia, determines the torque needed for a desired angular acceleration about a rotational axis. Like inertial mass is the resistance to being linearly accelerated, the moment of inertial is the resistance to being rotationally accelerated.
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How to compute the inertia tensor ${\bf{J}} _{\Omega}$ of a body of revolution
Suppose that $\Omega$ is a body of revolution of the function $y=f(x), a\le x \le b$ around the $x$-axis, where $f(x)>0$ is continuous.
How to compute the inertia tensor ${\bf{J}} _{\Omega}$?
After …
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Compute the inertial tensor and then solve the equation? [closed]
If the $J_{\Omega}$ is the following matrix, which is solved by ja72 in How to compute the inertia tensor ${\bf{J}} _{\Omega}$ of a body of revolution:
$${\bf J} = \rho\, \begin{bmatrix}
\frac{\pi}{2} …