A uniform triangular plate `ABC of` moment of mass `m` and inertia `I` (about an axis passing through `A` and perpendicular to plane of the plate) can rotate freely in the vertical plane about point `'A'` as shown in figure. The plate is released from the position shown in the figure. Line `AB` is horizontal. The acceleration of centre of mass just after the release of plate is

Options

A. `(mga^(2))/(sqrt3I)`
B. `(mga^(2))/(4I)`
C. `(mga^(2))/(2sqrt(3)I)`
D. `(mga^(2))/(3I)`

Answer

C

Explanation

Torque about: `mga/2Ialpha`
`implies alpha=(mga)/(2I)`
`implies` Acceleration `=a/(sqrt(3))alpha=(mga^(2))/(2sqrt(3)I)`