A wheel of radius R rolls uniformly without slipping along a horizontal path with speed v. Find the x and y coordinates of an arbitrary point A on the wheel rim, expressing them as a function of time t or the angle of rotation of the wheel j, assuming that at t = 0: j = 0, x = 0, y = 0 (figure). Using the found expressions for x and y, construct a graph of the trajectory of a point on the wheel rim.

Detailed solution. Format gif