At the instant shown, the center O of a spool with inner and outer radii r = 1 m and R = 2...

At the instant shown, the center O of a spool with inner and outer radii r = 1 m and R = 2.2 m, respectively, is moving up the incline at speed υO = 3 m/s. If the spool does not slip relative to the ground or relative to the cable C, determine the rate at which the cable is wound or unwound, that is, the length of rope being wound or unwound per unit time.

Figure P6.53