A cylindrical space probe adjusts its shape by extending andretracting masses. T

Question

A cylindrical space probe adjusts its shape by extending andretracting masses. The probe is set rotating along the cylinder'saxis and released. The maximum rotation rate is 5 rps and minimumrotation rate is 1 rps.

A. How does the angular momentum change as the masses are retractedfrom the fully extended position? (Is your answer consistent withconservation of angular momentum?)

B. What is the ratio of the moment of inertia when the masses areextended (I1) to the moment of inertia when the massesare retracted (I2)?

C. What is the ratio of the rotational kinetic energy when themasses are extended (K1) to the rotational kineticenergy when the masses are retracted (K2)? (Is youranswer consistent with conservation of energy? Explain.)

Explanation / Answer

as the masses retract the radius decreases decreasing themoment of inertia when the masses are retracted.so increasing theangular momentum due to the formula, =L/I and I = mR2 /2.so keeping the angular momentum constant.its viceversa when the masses gets extended. ratio of I is, I1 /I2 =2/1 =5/1=5 rps. rot. KE=1/2 I2 ratio of rot. KE=1/5.

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