Which theorem is used to find the moment of inertia of a body about an axis that
Practice Questions
Q1
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?
Perpendicular axis theorem
Parallel axis theorem
Pythagorean theorem
Conservation of angular momentum
Questions & Step-by-Step Solutions
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.
