Question

All of the questions on this exam concern a space station, consisting of a long thin uniform rod of mass B. 니 x 106 kg and length C. D 3 meters, with two identical uniform hollow spheres, each of mass D. 2+2 x 10kg and radius Emeters, attached at the ends of the rod, as shown below. Note that none of the diagrams shown is drawn to scale! axis (a) Suppose that the station starts out at rest (not rotating). What we want is to get it spinning about an axis passing through its center of mass, at an angular velocity of F. 0-13 rad/s, which is just what's needed to produce 1-g of artificial gravity at the end points. To achieve this, we use rocket motors to apply a constant force F G.너 . 7 --x 106 N to each sphere as shown, directed toward the centers of the spheres. How long must the motors fire in order to bring the station from rest up to an angular velocity of F.0.13rad/s?

please write clearly and and label ever answer

Answer 1

first finding the momost-ob ǐWrHa 당 cystern about center maAn Im rod 12 Now , Torgul on systern about cBrtert ma사, Also, we khoc that , τ to( 923379.34 x/0 6 So mofors shoul be fire for gy os 2 sec