A cylindrical space probe adjusts its shape by extending and retracting masses. The probe is set rotating along the cylinder’s axis and released. The maximum rotation rate is 5 rps and minimum rotation rate is 1 rps.
1. How does the angular momentum change because the masses are retracted from the completely extended position? (Is your answer consistent with conservation of angular momentum?)
2. What is the ratio of the moment of inertia when the masses are extended (I1) to the moment of inertia when the masses are retracted (I2)?
3. What is the ratio of the rotational kinetic energy when the masses are extended (K1) to the rotational kinetic energy when the masses are retracted (K2)? (Is your answer consistent with conservation of energy? Describe.)