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Two particles each of mass m are connected by a string of length 1m. The particles are kept on a smooth horizontal plane. The initial separation between the particles is 0.5 m. One of the particles is given a velocity 18 m/s as shown. Find the magnitude of angular velocity in rad/sof one particle with respect to the other particle just after the string becomes taut .

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answer is 9.

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Detailed Solution

Conserving angular momentum ,mω ×12=m×18×0.5 ⇒ω=9 rad/s

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Two particles each of mass m are connected by a string of length 1m. The particles are kept on a smooth horizontal plane. The initial separation between the particles is 0.5 m. One of the particles is given a velocity 18 m/s as shown. Find the magnitude of angular velocity in rad/sof one particle with respect to the other particle just after the string becomes taut .