A cylindrical space probe adjusts its shape by extending and retracting masses.

Question

A cylindrical space probe adjusts its shape by extending and retracting masses. The probe is set rotating along the cylinders axis and released. The maximum rotation rate is 5 rps and minimum rotation rate is 1 rps. How does the angular momentum change asthe masses are retracted from the fully extended position? (Is your answer consistent with conservation of angular momentum?) What is the ratio of the moment of inertia when the masses are extended to the moment of inertia when the masses are retracted?

Explanation / Answer

angular momentum of the system does not change. beacuse there is no net torque on the system.

Apply conservation of angular momentum

I1*w1 = I2*w2

I2/I1 = w1/w2

= 5/1

= 5

so, I_exteneded = 5*I_retracted <<<<<--------Answer

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