Q11:

11. A carpet of 'ength L. uniform width and uniform thickness is tightly rolled-up as a cylinder of radius R. It is placed on a fixed inclined plano Of inclination $\theta$ with one end fixed to the plane as shwon in figure. it is then released from rest to roll down. Then 


(A) Acceleration of centre of mass ot the cylindrical portion is
(B) Time taken by carpet to unroll completely is $\sqrt{\frac{3L}{g \sin \theta }}$
(C) Velocity of center of mass ot cylindrical part when carpet is hatf un-rolled is $\sqrt{\frac{2gL \sin \theta }{3}}$ 
(D) Acceleration of centre of mass of cylindrical part decreases.