Rotational Dynamics


Problems

Problem :

A popular yo-yo trick is to have the yo-yo "climb" the string. A yo-yo with mass .5 kg and moment of inertia of .01 begins by rotating at an angular velocity of 10 rad/s. It then climbs the string until the rotation of the yo-yo stops completely. How high does the yo-yo get?


Problem :

A ball with moment of inertia of 1.6, mass of 4 kg, and radius of 1 m rolls without slipping down an incline which is 10 meters high. What is the speed of the ball when it reaches the bottom of the incline?


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