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Questions and Answers
What does the theorem of perpendicular axes state?
What does the theorem of perpendicular axes state?
- It states that the moment of inertia about an axis parallel to the plane of a body is equal to the moment of inertia about any axis in the plane of the body.
- It states that the moment of inertia about an axis perpendicular to the plane of a body is equal to the moment of inertia about any axis in the plane of the body.
- It states that the moment of inertia about an axis parallel to the plane of a body is equal to the sum of the moments of inertia about any two mutually perpendicular axes in the plane of the body.
- It states that the moment of inertia about an axis perpendicular to the plane of a body is equal to the sum of the moments of inertia about any two mutually perpendicular axes in the plane of the body. (correct)
What is the theorem of perpendicular axes used for?
What is the theorem of perpendicular axes used for?
- Calculating the linear momentum of an object.
- Calculating the volume moment of inertia for 3D shapes.
- Calculating the area moment of inertia for 2D shapes. (correct)
- Calculating the torque of a rotating body.
How does the theorem of perpendicular axes relate to rotation?
How does the theorem of perpendicular axes relate to rotation?
- It relates area moment of inertia to angular velocity. (correct)
- It relates volume moment of inertia to angular velocity.
- It relates volume moment of inertia to linear velocity.
- It relates area moment of inertia to linear velocity.
What would be the effect on moment of inertia if a 2D shape is rotated in a plane perpendicular to its original plane?
What would be the effect on moment of inertia if a 2D shape is rotated in a plane perpendicular to its original plane?
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