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Three particles each of mass m can slide...

Three particles each of mass m can slide on fixed frictionless horizontal circular tracks in the same horizontal plane as shown in the figure. The coefficient of restitution being `e = 0.5`. Assuming that `m_(2)` and `m_(3)` are at rest initially and lie along a radial line before impact and the string is initially unstretched, then maximum extension in spring in subsequent motion

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