Question

a uniform square crate is released from rest with corner d directly above a and it rotate about a utill corner b impact the floor

Answer 1

Let m be the mass of the crate and c be the length of an edge.

Moment of inertia I = 1/12 m (c^2 + c^2) = 1/6 mc^2

The question is not complete, but you can search for the kinematics of the value and then the moments about B since it will strike the floor.