Collision and Friction: Theoretical Q with Practical Implications

In summary, the conversation discusses a theoretical question with practical implications regarding modeling yarn as mass points connected with spring systems and determining the collision response with objects. The participants consider the coefficient of restitution and friction coefficient, as well as the initial speed and components of the mass point's velocity. They also question if there is a friction response and mention resources such as books on impact mechanics. Ultimately, they suggest using the normal component of velocity and the coefficient of restitution to determine the normal component of velocity after the impact.
  • #1
Simon666
93
0
Theoretical question with practical implications (trying to model yarn as mass points connected with spring systems and need to get collision response with objects right):

A mass point approaches a plate under an angle. You have the coefficient of restitution β and the friction coefficient μ. You know the initial speed v of the point and can decompose it in normal component vN and tangential component vT to the surface.

What is the collision response of the mass point?

Just inverting the sign of vN and multiplying with β?

Or is there also a friction response since technically the surface and mass point exert forces on each other in an infinitely small amount of time, so an impulse reaction, and I also need to add -μ*vN to the tangential component or something?
 
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  • #2
Not really my field. Whole books are written on impacts, Google books suggests "Impact Mechanics" By W. J. Stronge

If the mass points bounce off without sliding over the surface then I don't think any energy is lost due to friction (work = force * displacement but the displacement is zero?).

So I think you just need to use the normal component of the velocity and the coefficient of restitution to work out the normal component of velocity after the impact.

Page 97 appears to discuss this...

http://books.google.co.uk/books?id=...oefficient of restitution at an angle&f=false

Edit: However having read that bit again ... Can the springs between the point masses store energy?
 

1. What is collision and friction?

Collision and friction are two fundamental concepts in physics that explain the interaction between objects in motion. Collision is the transfer of energy and momentum between two or more objects when they come into contact with each other. Friction is the force that resists motion between two objects in contact.

2. How are collision and friction related?

Collision and friction are closely related as they both involve the interaction between objects in motion. Friction is a result of the microscopic irregularities on the surfaces of objects, which cause resistance to motion during a collision. In other words, friction is the force that opposes the motion generated by a collision.

3. What are the practical implications of understanding collision and friction?

Understanding collision and friction has many practical implications, especially in the fields of engineering and transportation. Knowledge of these concepts allows us to design better and safer structures, such as cars, buildings, and bridges. It also helps us develop more efficient means of transportation and improve safety measures to prevent accidents.

4. How is the study of collision and friction relevant in our daily lives?

Collision and friction are relevant in our daily lives in many ways. For example, when we walk, friction between our shoes and the ground allows us to move forward. When we drive, friction between the tires and the road helps us control the vehicle. Furthermore, understanding the principles of collision and friction can also help us make informed decisions about the objects we use, such as choosing the right tires for a car or selecting the right materials for a building.

5. Can the effects of collision and friction be reduced or eliminated?

The effects of collision and friction can be reduced but not entirely eliminated. For example, engineers can design structures and machines to minimize friction, but it cannot be completely eliminated due to the laws of physics. Similarly, while we can reduce the impact of a collision, it is impossible to eliminate it entirely. However, understanding these concepts allows us to manage and mitigate their effects effectively.

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