Rotational Motion - Disk-Disk Collision problem

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SUMMARY

The discussion focuses on the rotational motion and collision dynamics of two disks, A and B, with equal radii and masses m1 and m2, respectively. Both disks are moving towards each other with velocities v1 and v2, and the impact of friction, represented by the coefficient μ, is analyzed. The participants emphasize the importance of understanding how friction influences the trajectory of the disks before the collision, potentially affecting whether they collide or miss each other. The goal is to derive expressions for angular momentum and speed during the collision, factoring in the effects of friction.

PREREQUISITES
  • Understanding of rotational motion principles
  • Familiarity with angular momentum calculations
  • Knowledge of collision dynamics in physics
  • Basic concepts of friction and its effects on motion
NEXT STEPS
  • Study the principles of angular momentum conservation in collisions
  • Learn about the effects of friction on motion and collision outcomes
  • Explore mathematical modeling of disk collisions using differential equations
  • Investigate the role of coefficients of friction in real-world collision scenarios
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the dynamics of rotational motion and collision analysis in systems involving friction.

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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