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A student on a piano stool rotates freely with an angular speed of 3.05 rev/s . The student holds a 1.50 kg mass in each outstretched arm, 0.759 m from the axis of rotation. The combined moment of inertia of the student and the stool, ignoring the two masses, is 5.53 kg \cdot m^2, a value that remains constant.
A) As the student pulls his arms inward, his angular speed increases to 3.78 rev/s . How far are the masses from the axis of rotation at this time, considering the masses to be points?
B) Calculate the initial kinetic energy of the system.
C) Calculate the final kinetic energy of the system.
A child in danger of drowning in a river is carried downstream by a current that flows uniformly with a velocity of 2.0 meters per second.
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A lightweight string of length 60cm is attached to the ceiling at points separated by distance. Three objects of equal mass are hung from the string, separating the string into 4 equal segments of length L. If θ = 40, find the measure of angle φ a..
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