Chapter 10.4, Problem 4EYU

In a popular pirate movie, two pirates find themselves on a runaway water wheel as shown in Figure 10-17. The wheel rods without slipping to the right with a linear speed v. Pirate 1 at the bottom of the wheel runs to the right with a speed v₁, and pirate 2 on top of the wheel runs to the left -with a speed v₂. Each pirate runs with the speed necessary to maintain a fixed position relative to the axle at the wheel as it roils What are the running speeds of (a) pirate 1 and (b) pirate 2 in terms of v? (c) What are the speeds of the two pirates relative to the ground?

Figure 10-17 Enhance Your understanding 4.