2.25 Problem Sets - Section 5

Problem 5.26: Hint 1B

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The volume integral that appears in the time derivative term of the angular momentum theorem can be evaluating by integrating radially outward along the arms from r=0 to r=R, noting that the definition of m is such that , where the bar indicates the average density of the solid and liquid in the arms, and the angular velocity is known in terms of w  and r because essentially everything in the arms is in solid-body rotation. .