A 12-in radius cylinder of weight 16lb rests on a 6lb carriage. The system is at rest when a force P of magnitude 4lb is applied. Knowing that the cylinder rolls without sliding on the carriage amd neglecting the mass Of the wheels of the carriage , determine the a) the acceleration of poina b) the acceleration of carriage C) the distance the cylinder has rolled with respect to carriage after 0.5 s.