A uniform square plate has mass M and side length a. It is made to oscillate in vertical plane in two different ways shown in figure (A) and (B). In figure (A), the plate is hinged at its upper corners with the help of two mass less rigid rods each of length `a`. The rods can rotate freely about both ends.
(a)
(b)
In figure (B) the plate is rigidly connected at the centre of its top edge to a mass less rod of length `a`. The rod can rotate about its upper end only. In both cases the plate is pushed from its equilibrium position so that centre of mass of the plate acquires a speed V. In which case will the centre of mass of the plate rise to a greater height. There is no friction.

Answer

Case (b)