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Class 12 Tuition > What is parallel an perpendicular axis theorem?
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What is parallel an perpendicular axis theorem?

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The parallel axis theorem, also known as Huygens--Steiner theorem after Christiaan Huygens and Jakob Steiner, can be used to determine the mass moment of inertia or the second moment of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's...
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The parallel axis theorem, also known as Huygens–Steiner theorem after Christiaan Huygens and Jakob Steiner, can be used to determine the mass moment of inertia or the second moment of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's center of mass and the perpendicular distance between the axes. read less
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Parallel axis theorem: I(parallel axis) = Icm + m(d^2) It means the moment of inertia about an axis passing through the center of mass is the least. 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...
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Parallel axis theorem: I(parallel axis) = Icm + m(d^2) It means the moment of inertia about an axis passing through the center of mass is the least. 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. read less
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Ix+Iy=Iz Where x and y axis lie on a plane lamina...and z axis is perpendicular to the plane lamina....nd all these three axis are mutual perpendicular to each other...very usefull for 2D symmetric objects.
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In physics, the perpendicular axis theorem (or plane figure theorem) can be used to determine the moment of inertia of a rigid object that lies entirely within a plane, about an axis perpendicular to the plane, given the moments of inertia of the object about two perpendicular axes lying within the p...
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Perpendicular axis theorem In physics, the perpendicular axis theorem (or plane figure theorem) can be used to determine the moment of inertia of a rigid object that lies entirely within a plane, about an axis perpendicular to the plane, given the moments of inertia of the object about twoperpendicular...
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Perpendicular axis theorem In physics, the perpendicular axis theorem (or plane figure theorem) can be used to determine the moment of inertia of a rigid object that lies entirely within a plane, about an axis perpendicular to the plane, given the moments of inertia of the object about twoperpendicular axes lying within the plane. The axes must all pass through a single point in the plane. Define perpendicular axes , , and (which meet at origin ) so that the body lies in the plane, and the axis is perpendicular to the plane of the body. Let Ix, Iy and Iz be moments of inertia about axis x, y, z respectively, the perpendicular axis theorem states that This rule can be applied with the parallel axis theorem and the stretch rule to find moments of inertia for a variety of shapes. read less
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The perpendicular axis theorem (or plane figure theorem) can be used to determine the moment of inertia of a rigid object that lies entirely within a plane, about an axis perpendicular to the plane, given the moments of inertia of the object about two perpendicular axes lying within the plane. The axes...
read more
The perpendicular axis theorem (or plane figure theorem) can be used to determine the moment of inertia of a rigid object that lies entirely within a plane, about an axis perpendicular to the plane, given the moments of inertia of the object about two perpendicular axes lying within the plane. The axes must all pass through a single point in the plane. the parallel axis theorem, also known as Huygens–Steiner theorem after Christiaan Huygens and Jakob Steiner, can be used to determine the mass moment of inertia or the second moment of area of a rigid body about any axis, given the body's moment of inertia about a parallel axis through the object's center of mass and the perpendicular distance between the axes. read less
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Parallel axis theorem: It states that if there are two axes of rotation one being at the center of mass, then the moment of inertia can be written as~ Iab = Ixy = Md^2 Perpendicular axis theorem: If two axes x and y are perpendicular to each other, then the moment of inertia about z axis which...
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Parallel axis theorem: It states that if there are two axes of rotation one being at the center of mass, then the moment of inertia can be written as~ Iab = Ixy = Md^2 Perpendicular axis theorem: If two axes x and y are perpendicular to each other, then the moment of inertia about z axis which is perpendicular to the xy plane is given as~ Iz = Ix = Iy read less
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Perpendicular axis theorem: If two axes x and y are perpendicular to each other, then the moment of inertia about z axis which is perpendicular to the xy plane is given
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