Theorem of Perpendicular Axes and Moment of Inertia
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Questions and Answers

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?

  • 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?

  • 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?

    <p>The moment of inertia would remain the same.</p> Signup and view all the answers

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