In case of stable equilibrium, should the meta-centre be above or below the centre of gravity of the body?

Define centre of gravity.

The centre of mass of a body lies

Statement-1 : For rotational equilibrium of floating bodies, meta centre must always be lower than centre of gravity of the body Statement-2 : When a floating body is slightly tilted from equilibrium , centre of buoyance shifts. The vertical line passing through new centre of buoyance and initial vertical line meet at a point, which is called meta centre.

The centre of mass of a body

The centre of mass of a body

Assertion : For a floating body to be in stable equilibrium, its centre of buoyancy must be located above the centre of gravity. Reason : The torque produced by the weight of the body and the upthrust will restore body back to its normal position, after the body is disturbed.

A body remains in neutral equilibrium when meta center coincides with the center of gravity.

Define meta centre.