For a solid disk of mass M and radius R, what is the moment of inertia about an axis perpendicular to the disk and passing through its center?

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Q: For a solid disk of mass M and radius R, what is the moment of inertia about an axis perpendicular to the disk and passing through its center?

Solution: The moment of inertia of a solid disk about an axis through its center is I = 1/2 MR^2.

Steps: 5

Step 1: Understand what moment of inertia is. It is a measure of how difficult it is to change the rotation of an object.
Step 2: Identify the shape of the object. In this case, it is a solid disk.
Step 3: Know the parameters involved. The mass of the disk is M and the radius is R.
Step 4: Recall the formula for the moment of inertia of a solid disk about an axis through its center. The formula is I = 1/2 MR^2.
Step 5: Substitute the values of M and R into the formula if needed, but the formula itself gives you the moment of inertia directly.