Chapter 3, Problem 69P

A wheel with a radius of 45.0 cm rolls without slipping along a horizontal floor (Fig. 3-37). At time t₁, the dot P painted on the rim of the wheel is at the point of contact between the wheel and the floor. At a later time t₂, the wheel has rolled through one-half of a revolution. What are (a) the magnitude and (b) the angle (relative to the floor) of the displacement of P?

Figure 3-37 Problem 69.