All the units in centimeter must be transformed into meter, and degree into radian.!!!BE CAREFUL ABOUT THE UNITS!!! The elements of a spacecraft with axial mass symmetry and a reaction-wheelcontrol system are shown in the figure. When the motor exerts a torque on thereaction wheel, an equal and opposite torque is exerted on the spacecraft,thereby changing its angular momentum in the z-direction. We want to changethe orientation of the spacecraft about the z-axis by an amount of 0 by applyingReactionWheela CONSTANT torque M to the motor of the reaction wheel in either direction(positive and then negative z directions) as shown in the below graph. TheMotersystem starts initially from rest and the maneuver is completed after time tm .After the maneuver is completed the system returns to rest condition. Mass ofM (torque)the spacecraft (including the wheel) is ms , and radius of gyration about z is ksziMoand the mass of the reaction wheel mw , and radius of gyration about z is kwz.The spin axis of the wheel is coincident with the z-axis of symmetry of thet (time)spacecraft. Determine the the time to reverse the torque, tı, and the constanttorque M required for this maneuver.-M.Os = - 48 degree, tm = 28 s , ms = 190 kg , ksz = 25 cm, mw = 1.2 kg , kwz = 9 cmNegative Os value means that we want to rotate the satellite in clockwise direction when looking from up todown (z towards the origin).

Given, The maneuver is completed after time, tM=28 s Mass of the spacecraft is ms=190 kg Radius of…

The elements of a spacecraft with axial mass symmetry and a reaction-wheel ontrol system are shown in the figure. When the motor exerts a torque on the eaction wheel, an equal and opposite torque is exerted on the spacecraft, hereby changing its angular momentum in the z-direction. We want to change he orientation of the spacecraft about the z-axis by an amount of 0 by applying CONSTANT torque M to the motor of the reaction wheel in either direction positive and then negative z directions) as shown in the below graph. The ystem starts initially from rest and the maneuver is completed after time tm . After the maneuver is completed the system returns to rest condition. Mass of he spacecraft (including the wheel) is ms , and radius of gyration about z is kszi nd the mass of the reaction wheel mw , and radius of gyration about z is kwz. he spin axis of the wheel is coincident with the z-axis of symmetry of the pacecraft. Determine the the time to reverse the torque, ti, and the constant orque M required for this maneuver.

The elements of a spacecraft with axial mass symmetry and a reaction-wheel ontrol system are shown in the figure. When the motor exerts a torque on the eaction wheel, an equal and opposite torque is exerted on the spacecraft, hereby changing its angular momentum in the z-direction. We want to change he orientation of the spacecraft about the z-axis by an amount of 0 by applying CONSTANT torque M to the motor of the reaction wheel in either direction positive and then negative z directions) as shown in the below graph. The ystem starts initially from rest and the maneuver is completed after time tm . After the maneuver is completed the system returns to rest condition. Mass of he spacecraft (including the wheel) is ms , and radius of gyration about z is kszi nd the mass of the reaction wheel mw , and radius of gyration about z is kwz. he spin axis of the wheel is coincident with the z-axis of symmetry of the pacecraft. Determine the the time to reverse the torque, ti, and the constant orque M required for this maneuver.