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Results tagged with moment-of-inertia
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user 27808
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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Inertia tensor of a spherical cap
First, you set up your second integral wrong. The integrand should be $$r\cdot(r^2\cos^2\theta+z^2)$$
since $\sqrt{r^2\cos^2\theta+z^2}$ is the distance of a point from the y-axis.
Second, you have u …
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