The uniform rectangular plate of length ℓ, height h, and mass m lies in the vertical plane...

The uniform rectangular plate of length ℓ, height h, and mass m lies in the vertical plane and is pinned at one corner. If the plate is released from rest in the position shown, determine its angular velocity when the center of mass G is directly below the pivot O. Neglect any friction at the pin at O.

Figure P8.19