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Moment of Inertia|Theorems of Perpendicu...

Moment of Inertia|Theorems of Perpendicular and Parallel axis

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Statement-1 : Moment of inertia of a particle is same, whatever be the axis of rotation. Statement-2 : Moment of inertia depends on mass and perpendicular distance of the particle from its axis of rotation.

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The moment of inertia of a then circular disc about an axis passing through its centre and perpendicular to its plane is I . Then, the moment of inertia of the disc about an axis parallel to its diameter and touching the edge of the rim is

Moment of inertia of disc about the tangent parallel to plane is I. The moment of inertia of disc about tangent and perpendicular to its plane is

Moment of inertia of a rectangular plate about an axis passing through P and perpendicular to the plate is I . Moment of PQR about an axis perpendicular to the plane of the plate : .

Moment of inertia of a disc about an axis parallel to diameter and at a distance x from the centre of the disc is same as the moment of inertia of the disc about its centre axis. The radius of disc is R . The value of x is