The moment of inertia of the astronaut and maneuvering unit about the axis through their c...

The moment of inertia of the astronaut and maneuvering unit about the axis through their center of mass perpendicular to the page is I = 40 kg-m2. A thruster can exert a force T = 10 N. For safety, the control system of his maneuvering unit will not allow his angular velocity to exceed 15° per second. If he is initially not rotating, and at t = 0 he activates the thruster until he is rotating at 15° per second, through how many degrees has he rotated at t = 10 s?