From a complete ring of mass `M` and radius `R`, a `30^@`sector is removed. The moment of inertia of the incomplete ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is
,

Options

A. `9/12MR^(2)`
B. `11/12MR^(2)`
C. `13/12MR^(2)`
D. `MR^(2)`

Answer

B

Explanation

Mass of incomplete ring
`=m-M/(2pi)xxpi/6=M-M/12=(11M)/12`
moment of inertia of incomplete ring
`((11M)/12)R^(2)=11/12MR^(2)`