Question

launch point launch point axis

Mass of station is 3.8X10⁶

Suppose once again that the space station begins at rest, not rotating. This time, instead of using rocket engines attached to the spherical end modules, we will have small probes periodically launched from two points on the rod-shaped part of the station as shown. The probes will launch in pairs in opposite directions, each individual probe of identical mass 1287 kg and launched at a speed of 15900 m/s with respect to the space station. The launch points are each located at the same distance 343 meters from the center of the rod, on opposite sides of the rod. Each time a pair of probes is launched, some angular momentum is imparted to the station, increasing its spin rate. Question: how many such pairs of probes must be launched, so that the station’s angular velocity will reach the required value of 0.09 rad/s?

Answer 1

Mass of each bob m: 128チ lanchel Stred v Sy stern ofnertla 1 - moment of inrtia of roEn Spher nertia mL 2. 12 ere gach holloo Sphre Mass

446 x 16 xo.o 10- 3 times lece )