A 1200-kg satellite designed to study the sun has an angular velocity wo = (0.050 rad/s)i...

 

 

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A 1200-kg satellite designed to study the sun has an angular velocity wo = (0.050 rad/s)i + (0.075 rad/s)k when two small jets are activated at A and B in a direction parallel to the y axis. Knowing that the coordinate axes are principal centroidal axes, that the radii of gyration of the satellite are k, = 1.120 m, k, = 1.200 m, K. = 0.900 m, and that each jet produces a 50-N thrust, determine (a) the required operating time of each jet if the angular velocity of the satellite is to be reduced to zero, (b) the resulting change in the velocity of the mass center G. %3D 1.6 m 18 m 1.2 m Fig. P18.33 A 1200-kg satellite designed to study the sun has an angular velocity wo = (0.050 rad/s)i + (0.075 rad/s)k when two small jets are activated at A and B in a direction parallel to the y axis. Knowing that the coordinate axes are principal centroidal axes, that the radii of gyration of the satellite are k, = 1.120 m, k, = 1.200 m, K. = 0.900 m, and that each jet produces a 50-N thrust, determine (a) the required operating time of each jet if the angular velocity of the satellite is to be reduced to zero, (b) the resulting change in the velocity of the mass center G. %3D 1.6 m 18 m 1.2 m Fig. P18.33