I} U Suppose Bob is in the same inertial frame as the rod. In Bolis frame. the beams move left with a speed 1:. which means that Bob will observe the gap as being contracted. According to Bob. will the rod pass through the gap? If so. describe how this is possible. If the rod does pass through the gap. will the ends of the rod pass through simultaneously? If not. nd the time interval between these events. 2. Consider a rod that in its rest frame has a length L0 and forms an angle 00 with the horizontal. a) If Alice sees the rod traveling to the right with a speed l.' show that Alice would observe a length L given by 1.2 L : L0 1 i 7 cos2 00 (. and show that Alice observes the rod to form an angle 0 with the horizontal where 0 is given by (9 : tan'1 (1.1. tan (90) b) For the expressions given in part a). what happens if you set 11 : 0? \\Yliat if you take the limit that v ~> (:7 Do your answers make sense? 0) Alice now notices that the rod is headed towards two beams separated by a gap. The beams are at rest relative to Alice, and according to Alice the gap just so happens to have a length L and form an angle 0 with the horizontal so the rod can t perfectly between the beams and pass through. In particular. the two ends of the rod pass through the gap simultaneously. The following gure shows the rod and beams system at three times as viewed by Alice