Particle-Rod Collision: Rotation or Translation?

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In a collision where a particle strikes a rod at one end in space, both rotation and translation occur due to the conservation of linear and angular momentum. The outcome depends on factors like the angle of impact and whether the collision is elastic or inelastic. If the particle hits perpendicularly to the rod's length, it will cause the rod to rotate while also translating. The distribution of force during the collision determines how much of the momentum contributes to rotation versus translation. Understanding these principles clarifies the dynamics of the collision scenario.
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A particle hits a rod at one of its end in space.
Now will the rod rotate or translate or do both...What part of the force goes into translation/rotation ??
If the above scenario happens in air, what will differ?
 
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There are several things to consider--whether this is an elastic or inelastic collision and what angle the particle strikes the rod.

Regardless, conservation of linear and angular momentum apply for the system as a whole, so if the particle doesn't come in straight along the length of the rod, the rod's going to rotate after collision.
 
But why would it rotate and not translate??
(assume elastic collision and the velocity of particle is perpendicular to length of rod)
 
It's going to do both. Angular momentum and linear momentum are conserved quantities.
 
Ok, i seem to get it now. Just wasn't sure.
Thank You for your Help. :approve:
 

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