What is the moment of inertia of a solid sphere about an axis through its center

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Question: What is the moment of inertia of a solid sphere 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 given by I = (2/5)mr^2.

What is the moment of inertia of a solid sphere about an axis through its center?

What is the moment of inertia of a solid sphere about an axis through its center?

Correct Answer: I = (2/5)mr^2

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 are dealing with a solid sphere.
Step 3: Recognize that the moment of inertia depends on the mass and the distribution of that mass relative to the axis of rotation.
Step 4: Know 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: In the formula, 'm' represents the mass of the sphere and 'r' represents the radius of the sphere.
Step 6: To find the moment of inertia, you need to know the mass and radius of the sphere, then plug those values into the formula.

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