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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