A cylindrical space probe amends its shape through extending and retracting masses. The probe is set rotating all along the cylinder's axis and released. The utmost rotation rate is 5rps and minimum rotation rate is around 1 rps.
i) Determine how does the angular momentum vary as the masses are retracted from the completely extended position?
ii) Determine the ratio of the moment of inertia if the masses are extended (i1) to the moment of inertia if the masses are retracted (i2)
iii) Determine the ratio of the rotational kinetic energy if the masses are extended (K1) to the rotational kinetic energy if the masses are retracted (K2)?