What is the moment of inertia of a solid sphere of mass M and radius R about an

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Question: What is the moment of inertia of a solid sphere of mass M and radius R about an axis through its center?

Options:

Correct Answer: 2/5 MR^2

Solution:

The moment of inertia of a solid sphere about an axis through its center is I = 2/5 MR^2.

What is the moment of inertia of a solid sphere of mass M and radius R about an axis through its center?

What is the moment of inertia of a solid sphere of mass M and radius R about an axis through its center?

Step 1: Understand what moment of inertia means. 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, we have a solid sphere.
Step 3: Know the variables involved. M is the mass of the sphere, and R is the radius of the sphere.
Step 4: Use the formula for the moment of inertia of a solid sphere about an axis through its center, which is I = 2/5 MR^2.
Step 5: Plug in the values of M and R into the formula if you have specific numbers, or just remember the formula for future use.

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