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Horizontal Circular Motion

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A particle of mass m is attacted to one end of string of length 3L . The particle is on a smooth horizontal table. The string passes through a hole in the table and to its other end is attached to a small particle of mass m_(0) . The particle describe horizontal circular motion with angular velocity omega_(1) and omega_(2) . find the value of (a) (omega_(1))/(omega_(2)) and (b) the value of ((1)/(omega_(1)^(2))+(1)/(omega_(2)^(2))) .

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