Let I1 be the moment of inertia about the centre of mass of a thick asymmetrical body. Let I2 be the moment of inertia about an axis parallel to I1. The distance between the two axes is ‘a’ & the mass of the body is ‘m’. Find the relation between I1 & I2.

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Class 11 Physics Practice Test: System of Particles and Rotational Motion - Theorems of Perpendicular and Parallel Axes — practice the complete quiz, review flashcards, or try a random question.

Perpendicular Axis Theorem states that the moment of inertia of a planar body about an axis perpendicular to its plane is equal to the sum of its moments of inertia about two perpendicular axes concurrent with the perpendicular axis and lying in the plane of the body.

Parallel Axis Theorum states that the moment of inertia of a body about an axis parallel to an axis passing through the centre of mass is equal to the sum of the moment of inertia of body about an axis passing through centre of mass and product of mass and square of the distance between the two axes.


Let I<sub>1</sub> be the moment of inertia about the centre of mass of a thick asymmetrical body. Let I<sub>2</sub> be the moment of inertia about an axis parallel to I<sub>1</sub>. The distance between the two axes is ‘a’ & the mass of the body is ‘m’. Find the relation between I<sub>1</sub> & I<sub>2</sub>.






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