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The perpendicular axis theorem (or plane figure theorem) states that, "The moment of inertia (I z) of a laminar body about an axis (z) perpendicular to its plane is the sum of its moments of inertia about two mutually perpendicular axes (x and y) in its plane, all the three axes being concurrent."
Perpendicular axis theorem states that, for any plane body, the moment of inertia about any of its axes which are perpendicular to the plane is equal to the sum of the moment of inertia about any two perpendicular axes in the plane of the body which intersect the first axis in the plane.
- Axis of rotation Distribution of mass about the axis of rotation
- The moment of inertia of a plane lamina about an axis perpendicular to the plane of the lamina (i.e., z-axis) is equal to the sum of the moment of...
- Moment of inertia plays the same role in rotational motion as the mass of the body in translational motion.
- Perpendicular axis theorem Parallel axis theorem
Perpendicular Axis Theorem. For a planar object, the moment of inertia about an axis perpendicular to the plane is the sum of the moments of inertia of two perpendicular axes through the same point in the plane of the object.
Apr 4, 2024 · Perpendicular Axis Theorem, also known as the perpendicular axes rule, is a theorem in physics that relates the moments of inertia of a two-dimensional object about three perpendicular axes.
Jul 28, 2023 · The perpendicular axis theorem is applied to calculate the moment of inertia values about perpendicular axes. One can use this theorem to find the moment of inertia values of a few well-known objects from values given in any standard moment of inertia table.
The perpendicular axis theorem states that For any plane body, the moment of inertia about any of its axes which are perpendicular to the plane is equal to the sum of the moment of inertia about any two perpendicular axes in the plane of the body which intersect the first axis in the plane.
The perpendicular axis theorem states that “The moment of inertia about the axis perpendicular to the two coplanar axes is given by the sum of the moment of inertia about this two coplanar axis.”
