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Two body dynamic collision with a spring 2

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RoarkS

Mechanical
Joined
Jul 10, 2009
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US
Two body dynamic collision with a spring

Alright, I am completely irritated I cant figure my way through this.

For assumption purposes I have two bodies sliding on a one dimensional frictionless plane. The first body has a given (high) momentum. It slams into another stationary body, but there is a damper ‘spring’ attached to this second mass to ease the impact. I need to know the momentum of the 2nd mass after the impact.

The spring damper is going to store energy, yet it along with the mass it is attached too is still going to slide… how in the world do I figure that conservation of momentum/energy storage problem?


I have a limit to the momentum that the second mass can handle and need to design the spring displacement and K value accordingly…. If this is possible.

Thanks!
 
Correction
After some adjusting I get
(x1-x2)"+(k/Mh+k/mb)(x1-x2)
should read
(x1-x2)"+(k/Mh+k/mb)(x1-x2)=0
 
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