A 9in radius cylinder of weight 18lb rests on a 6lb carriage. the system is at rest when a force p of magnitude 2.5 lb is applied ( p is coming out of the car the cylinder is sitting on and going to the right) for 1.2s. knowing that the cylinder rolls without sliding on the carriage and neglecting the mass of the wheels of the carriage, determine the resulting velocity of (a) carriage, (b) the center of the cylinder.
I with bar above it = 0.15722 slug ft^2