What is the moment of inertia of a solid disk about its central axis?

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Question: What is the moment of inertia of a solid disk about its central axis?

Options:

Correct Answer: (1/2)MR^2

Solution:

The moment of inertia of a solid disk about its central axis is (1/2)MR^2.

What is the moment of inertia of a solid disk about its central axis?

What is the moment of inertia of a solid disk about its central axis?

Step 1: Understand what moment of inertia means. It is a measure of how difficult it is to rotate an object around an axis.
Step 2: Identify the shape of the object. In this case, we have a solid disk.
Step 3: Recognize that the central axis is the line that goes through the center of the disk and is perpendicular to its surface.
Step 4: Know the formula for the moment of inertia of a solid disk about its central axis. It is given by the formula (1/2)MR^2.
Step 5: In the formula, 'M' represents the mass of the disk, and 'R' represents the radius of the disk.
Step 6: To find the moment of inertia, you need to know the mass and radius of the disk, then plug those values into the formula.

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