What is the rotational inertia $I$ of a disk with a radius $R = 4\,\text{m}$ and a mass $2\,\text{kg}$? The same disk is rotated around an axis that is $0.5\,\text{m}$ from the center of the disk. What is the new rotational inertia $I$ of the disk? What would the rotational inertia be if the disk axis was $3.75\,\text{m}$ from the center?

Question

What is the rotational inertia $I$ of a disk with a radius $R = 4\,\text{m}$ and a mass $2\,\text{kg}$? The same disk is rotated around an axis that is $0.5\,\text{m}$ from the center of the disk. What is the new rotational inertia $I$ of the disk? What would the rotational inertia be if the disk axis was $3.75\,\text{m}$ from the center?(a) Determine the rotational inertia $I$ of the disk about its central axis.
, (b) Determine the rotational inertia $I$ of the disk when rotated about an axis $0.5\,\text{m}$ from its center.
, (c) Determine the rotational inertia $I$ of the disk when the rotation axis is $3.75\,\text{m}$ from the center.
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Jason · Accepted Answer

$16\,\text{kg}\cdot\text{m}^{2}$
$16.5\,\text{kg}\cdot\text{m}^{2}$
$44.125\,\text{kg}\cdot\text{m}^{2}$

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