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Consider two perpendicular axis in the plane of a planar body, such that I1 = 2 I2. The moment of inertia about an axis perpendicular to the plane and passing through intersection of I1 & I2 is 9kgm^2. Find the value of I1& I2.(a) I1 = 9kg m^2, I2 = 4.5kgm^2(b) I1 = 3kg m^2, I2 = 6kg m^2(c) I1 = 6kg m^2, I2 = 3kg m^2(d) I1 = 18kg m^2, I2 = 9kg m^2This question was addressed to me in semester exam.This key question is from Theorems of Perpendicular and Parallel Axes in section System of Particles and Rotational Motion of Physics – Class 11

Answer» RIGHT option is (C) I1 = 6KG m^2, I2 = 3kg m^2

The explanation: By perpendicular axis theorem:9 = I1 + I2 = 3 I2.

∴ I2 = 3kgm^2 & I1 = 2*3 = 6kgm^2.


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