Question

A) in minutes

B) in launched pairs

C) in rad/s

All of the questions on this exam concern a space station, consisting of a long thin uniform rod of mass identical uniform hollow spheres, each of mass D E 74-meters, attached at the ends of the rod, as shown below. Note that none of the diograms shown is drawn to scale 4 4x 10° kg and length C. 4.4 x10 kg and l length C.240 meters, with two 17-'x 106kg and radius 1.7 x10 kg and radius axas (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.----0-19 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. 4.7 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 F0 19 rad/s? launch point launch point axis (b) 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 H. 4966 ·一kg and launched at a speed of l. 28800- m/s with respect to the space station. The launch points are each located at the same distanceJ.90 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 F.0 19rad/s?

Answer 1

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2. Loi . 26.65 오 toman l 2 1 2

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