What is the moment of inertia of a thin spherical shell of mass M and radius R a

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

Options:

Correct Answer: 2/3 MR^2

Solution:

The moment of inertia of a thin spherical shell about an axis through its center is I = 2/3 MR^2.

What is the moment of inertia of a thin spherical shell of mass M and radius R about an axis through its center?

What is the moment of inertia of a thin spherical shell of mass M and radius R about an axis through its center?

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 thin spherical shell.
Step 3: Recognize that the mass of the shell is M and its radius is R.
Step 4: Recall the formula for the moment of inertia of a thin spherical shell about an axis through its center, which is I = 2/3 MR^2.
Step 5: Substitute the values of M and R into the formula if needed, but the formula already gives us the answer directly.

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