A hole of radius R/2 is cut from a thin circular plate of raduis R as shown in the figure. If the mass of the remaining plate is M, then find moment of inertia of the plate about an axis through O perpendicular to plane A. `13/25 MR^(2)`B. `13/24 MR^(2)`C. `11/24 MR^(2)`D. `11/25 MR^(2)`

A hole of radius R/2 is cut from a thin circular plate of raduis R as

1.	A hole of radius R/2 is cut from a thin circular plate of raduis R as shown in the figure. If the mass of the remaining plate is M, then find moment of inertia of the plate about an axis through O perpendicular to plane A. `13/25 MR^(2)`B. `13/24 MR^(2)`C. `11/24 MR^(2)`D. `11/25 MR^(2)`
Answer» Correct Answer - B Let the mass of disc without hole =m The mass of cut out hole of radius `R/2` is `m/4` `:. m-m/4=M` or `m=4/3M` Moment of inertia of given body about axis passing through O `=MI` of complete disc -MI of cut out hole . `=1/2((4M)/3)R^(2)-[1/2(M/3)(R/2)^(2)+M/3(R/2)^(2)]=13/24 MR^(2)`

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A hole of radius R/2 is cut from a thin circular plate of raduis R as shown in the figure. If the mass of the remaining plate is M, then find moment of inertia of the plate about an axis through O perpendicular to plane A. `13/25 MR^(2)`B. `13/24 MR^(2)`C. `11/24 MR^(2)`D. `11/25 MR^(2)`

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