A uniform thin stick of mass \( M=24 \mathrm{~kg} \) and length \( L \) rotates on a frictionles...

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A uniform thin stick of mass \( M=24 \mathrm{~kg} \) and length \( L \) rotates on a frictionless horizontal plane, with its centre of mass stationary. A particle of mass \( m \) is placed on the plane at a distance \( x=L / 3 \) from the centre of the stick. This stick hits the particle elastically. Find the value of \( m / M \) so that after the collision, there is no rotational motion of the stick.
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