Rotational Motion - Disk-Disk Collision problem

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The discussion revolves around solving a collision problem involving two disks with different masses moving towards each other. Participants emphasize the importance of understanding how friction affects the collision dynamics, particularly in terms of angular momentum and speed. It is noted that while the collision can be analyzed without friction, incorporating it changes the approach to the disks' motion prior to impact. The potential for friction to influence whether the disks collide or miss is highlighted as a critical factor. Overall, the conversation encourages a deeper exploration of the mechanics involved in rotational motion during collisions.
CaptCoonoor
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Hey Guys, Can you tell me how to solve this one, Need not give me direct answers but just take a look at this :

Consider two disks A and B of equal radius, let m1 be the mass of disk A and m2 be the mass of disk B, Both are moving towards each other with Velocity v1 and v2 respectively, If they collide and if they were moving on a ground with μ as the coefficient of friction, Can I calculate angular momentum/speed.. I want to dervie expression for this..

I know how to it without friction
 
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You say you know how to do it without friction.

What difference will friction make to the actual collision? Presumably at this level of approximation you are treating the collision as though it took place in zero time. So the actual collision will be very much the same with or without friction.

The only difference the friction will make is in what the two disks do on their way to the collision. Or the miss if the friction were to make them miss. Hint: Could the friction make them miss? How?
 
You need to show your working on which we can build up
 

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For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...
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