A solid cylinder of mass M and radius R without slipping down an inclined plane of length L and height h. What is the speed of centre of mass when the cylinder reaches bottom ?

Total K.E. of the cylinder at bottom is given by K.E. =12Iω2+12Mv2=12MR22v2R2+12Mv2=12Mv22+12Mv2=34Mv2Total K.E. at bottom                    = loss of potential energy∴    34Mv2=Mgh or     v=[(4/3)gh]