Question

Consider a non-rotating space station in the shape of a long thin uniform rod of mass 6.65 x 10^6 kg and length 574 meters. Rocket motors on both ends of the rod are ignited, applying a constant force of F = 9.48 x 10^5 N to each end of the rod as shown in the diagram, causing the station to rotate about its center. If the motors are left running for 2 minutes and 21 seconds before

3.94 rpm

9.84 rpm

2.76 rpm

6.56 rpm

Answer 1

Torque provided by each motor= I= F = 1 / 2 = 9.98 110 x 57 =2.77076 7108- Vet Torque a Inet a at = 5:441528108 H-m Angulee Impulsee tot. I (0-W) Tot =) Trurot = Iwf a wf = I T = MŁ. I = Mb 12 665 x10* *5792 - رندا - 5.49 15 x 108 x (2x60 +21)x12 GOS X 10625792 2014 2 rad's = 0.42 860 yeu per min 2ī 3.9 om 24.01 rpm ñ 3