Engineering
Physics
Moment of Inertia
Question

The figure shows two solid discs with radius R and r respectively. If mass per unit area is same for both, what is the ratio of MI of bigger disc around axis AB (which is ⊥ to the plane) of the disc and passing through its centre) to MI of smaller disc around one of its diameters lying on its plane ? Given 'M' is the mass of the larger disc. (MI stands for moment of inertia)

           

2r4 : R4

R2 : r2

2R4 : r4

2R2 : r2

JEE Advance
College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Solution

Let mass density be σ

M1 = πR2σ, M2 = πr2σ

I1=12M1R2=πσR42

I2=14M2r2=πσr44  ;  I1I2=2R4r4