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With what angular velocity should a 20 m...

With what angular velocity should a 20 m long cord be rotated such that tension in it, while reaching the highest point, is zero

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A hoop of radius r mass m rotating with an angular velocity omega_(0) is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it cases to slip ?

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