Feb 3rd, 2012
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Use the conservation of angular momentum and formula for rotational kinetic energy, to calculate the final angular velocity and the final kinetic energy of the system.

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A. Since the velocity of the boy is directed counter the direction of the initial rotation, the angular momentum of the boy relative to the rotational axis is -mvr, and the initial angular momentum of the system is then I?0 - mvr The final angular momentum(I+I1) ?Where I1 is the moment of inertia of the boy relative to the rotational axis, and ignore the size of the boy, we have I1 = mr2 = 25 x 4.22 = 441 kg m2 From conservation of angular momentum, we have I?0 - mvr =(I+I1) ?Thus ? = (I?0 - mvr)/(I+I1) = (180x1.5-25x2.8x4.2)/(180+441) = -0.0386 rad/s "-" Sign mean the directio

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