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String is wrapped around an object of mass M= 0.5 kg and moment of inertia I= 0.02 kg·m2.

:y M,I :Yo Floor Floor

String is wrapped around an object of mass M= 0.5 kg and moment of inertia I= 0.02 kg·m2. You pull the string with your hand straight up with some constant force F such that the center of the object does not move up or down, but the object spins faster and faster (see the figure). This is like a yo-yo; nothing but the vertical string touches the object. When your hand is a height y0= 0.24 m above the floor, the object has an angular speed ω0= 12 radians/s. When your hand has risen to a height y= 0.72 m above the floor, what is the angular speed of the object? Your answer must be numeric and not contain the symbol F.


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