Three schoolboys, Sam, John, and Nick, are on merry-go-round. Sam and John occupy diametrically opposite points on a merry-go-round of radius r. Nick is on another merry-go-round of radius R. The positions of the boys at the initial instant are shown in Fig. Considering that the merry-go-round touch each other and rotate in the same direaction at the same angular velocity `omega`, determine the nature of motion of Nick from John's point of view and of Sam from Nick's point of view.