Which theorem is used to find the moment of inertia of a body about an axis that

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Question: Which theorem is used to find the moment of inertia of a body about an axis that is parallel to an axis through its center of mass?

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Correct Answer: Parallel axis theorem

Solution:

The parallel axis theorem is used to find the moment of inertia about an axis parallel to one through the center of mass.

Which theorem is used to find the moment of inertia of a body about an axis that is parallel to an axis through its center of mass?

Which theorem is used to find the moment of inertia of a body about an axis that is parallel to an axis through its center of mass?

Correct Answer: Parallel Axis Theorem

Step 1: Understand what moment of inertia is. It is a measure of how difficult it is to change the rotation of an object.
Step 2: Know that the moment of inertia can be calculated about different axes.
Step 3: Identify the axis through the center of mass of the object. This is a special point where the mass is evenly distributed.
Step 4: Recognize that sometimes you need to find the moment of inertia about an axis that is not through the center of mass but is parallel to it.
Step 5: Learn about the parallel axis theorem. This theorem helps you calculate the moment of inertia about the new axis.
Step 6: Apply the parallel axis theorem: I = I_cm + Md^2, where I is the moment of inertia about the new axis, I_cm is the moment of inertia about the center of mass axis, M is the mass of the object, and d is the distance between the two axes.

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