Because there are no external forces or torques acting on the bar-sphere system,

Question

Because there are no external forces or torques acting on the bar-sphere system, both linear and angular momenta are conserved in the collision. Kinetic energy is also conserved in the elastic collision of the hard sphere with the bar. Draw a sketch showing the sphere approaching the bar, and later showing the stationary sphere as the bar translates and rotates about its center of mass.

The figure below shows a thin, uniform bar whose length is L and mass is M and a compact hard sphere whose mass is m. The system is supported by a frictionless horizontal surface. The sphere moves to the right with velocity Because there are no external forces or torques acting on the bar-sphere system, both linear and angular momenta are conserved in the collision. Kinetic energy is also conserved in the elastic collision of the hard sphere with the bar. Draw a sketch showing the sphere approaching the bar, and later showing the stationary sphere as the bar translates and rotates about its center of mass. V , and strikes the bar at a distance 1/4L from the center of the bar. The collision is elastic, and following the collision the sphere is at rest. Find the value of the ratio m/M.

Explanation / Answer

Answer is 0.571

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