What is the moment of inertia of a thin circular hoop of mass M and radius R abo

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

Options:

Correct Answer: MR^2

Solution:

The moment of inertia of a thin circular hoop about an axis through its center is I = MR^2.

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

What is the moment of inertia of a thin circular hoop 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, it is a thin circular hoop.
Step 3: Know the mass (M) and radius (R) of the hoop. These are given in the question.
Step 4: Recall the formula for the moment of inertia of a thin circular hoop about an axis through its center. The formula is I = MR^2.
Step 5: Substitute the values of mass (M) and radius (R) into the formula if needed, but here we just need to remember the formula.

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