This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 6.59 x 10^6 kg and length 1180 meters. Small probes of mass 8331 kg are periodically launched in pairs from two points on the rod-shaped part of the station as shown, launching at a speed of 2706 m/s with respect to the launch points, which are each located 302 m from the center of the rod. After 13 pairs of probes have launched, how fast will the station be spinning? 2.21 rpm 1.55 rpm 3.32 rpm 0.93 rpm Now we have a rod-shaped space station of length 815 m and mass 2.72 x 10^6 kg, which can change its length (kind of like an old-fashioned telescope), without changing its overall mass. Suppose that the station is initially rotating at a constant rate of 2.01 rpm. If the length of the rod is reduced to 487 m, what will be the new rotation rate of the space station? 5.63 rpm 3.94 rpm 9.01 rpm 2.76 rpm A diver of mass 73.1 kg stands on one end of a diving board of mass 39.3 kg, as shown in the diagram. Everything is in equilibrium (since nothing is moving). What is the magnitude of the support force on the opposite end of the diving board? 456 N 1,627 N 651 N 2,441 N