M and R be the mass and radius of a disc. A small disc of radius $R / 3$ is removed from the bigger disc as shown in figure. The moment of inertia of remaining part of bigger disc about an axis AB passing through the centre O and perpendicular to the plane of disc is $\frac{4}{x} M R^2$ . The value of $x$ is ________.

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M and R be the mass and radius of a disc. A small disc of radius

R / 3

is removed from the bigger disc as shown in figure. The moment of inertia of remaining part of bigger disc about an axis AB passing through the centre O and perpendicular to the plane of disc is

\frac{4}{x} M R^2

. The value of

x

is ________.
M and R be the mass and radius of a disc. A small disc of radius R / 3 is removed from the bigger disc as shown in

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Without cavity I_1= MR^2 2 aligned Mass of removed disc = & M π R^2 ×( R 3 )^2 π & =( M 9 ) aligned M.I. of removed disc I_2=((M)/(9)((R)/(3))^2)/(2)+(M)/(9) ×((2 R)/(3))^2 aligned & = MR^2 18 & I=I_1-I_2= MR^2 2 - MR^2 18 = 4 MR^2 9 & (n=9) aligned

M and R be the mass and radius of a disc. A small disc of radius R...

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