In order to keep the angular speed of the spacecraft in the figure constant, two jets, whose thrust forces are indicated by T$,$ are used. $10$ kg masses attached to the ends of the telescopic arms are extended from r $=1\mathrm{.}2$ m to rz $=4\mathrm{.}5$ m with a constant translational speed within $2$ minutes. Obtain the time change function of the thrust force T so that the angular velocity remains w $=1\mathrm{.}25$ rad$/$s during this process.

Note: Think of the masses at the ends of the arms as material particles. Hint: Move from angular momentum relative to the z axis

10 kg T- N wo G T 10 kg 1.1 m 1.1 m r