What is the moment of inertia of a disk of mass M and radius R about an axis thr

What is the moment of inertia of a disk of mass M and radius R about an axis through its center and perpendicular to its plane?

What is the moment of inertia of a disk of mass M and radius R about an axis through its center and perpendicular to its plane?

Step 1: Understand what moment of inertia is. It measures 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 disk.
Step 3: Know the parameters given: the mass of the disk (M) and the radius of the disk (R).
Step 4: Recall the formula for the moment of inertia of a 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 the moment of inertia directly.

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