The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is ………..

The moment of inertia of a uniform semicircular disc of mass M and rad

1.	The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is ………..
Answer» `(1)/(2)MR^(2)` `Mr^(2)` `(2)/(5)Mr^(2)` `(1)/(4)Mr^(2)` Solution :Suppose ASSUME that moment of inertia of WHOLE circular DISC is 2I and its mass 2M, then `2I=(2Mr^(2))/(2)` `therefore I=(Mr^(2))/(2)`