First slide
Moment of intertia
Question

Circular disc X of radius R is made from an iron plate of thickness t, and another disc Y of radius 4 R is made from an iron plate of thickness.t4.Then, the relation between the moment of inertia IX, and Iy is

Moderate
Solution

The mass of the disc = Volume x density
                                 =πR2t×ρ
For disc X,IX=12M1R12
                    =12πR4
For disc Y,IY=12π(4R)2t4ρ(4R)2
               =32πR4 IY=64IX

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