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.

Category: QuestionsConsider 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.
Editor">Editor Staff asked 1 year ago

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^2
 
This 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
Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 1 year ago

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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