A 50-g pencil (uniform slender rod) falls down onto the table with a velocity of 0.2 m/s

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A 50-g pencil (uniform slender rod) falls down onto the table with a velocity of 0.2 m/s just before impact. If it is at an angle of 60° with the horizontal, and it does not slip during the impact, determine its angular velocity ω and the velocity vG of its center of mass just after rebounding. The coefficient of restitution is e = 0.8.

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