Calculating Force of n Particles in R-l Container

Click For Summary
SUMMARY

The discussion focuses on calculating the total force exerted by n particles within a cylindrical container of radius R and height l towards a point A. The force from each particle is defined by the equation f = K/d², where K is a constant and d represents the distance from the particle to point A. The participants emphasize the necessity of using integration to derive the total force, considering that the height (h) remains constant. A visual attachment was referenced to aid in understanding the spatial arrangement of the particles.

PREREQUISITES
  • Understanding of basic physics concepts, specifically force and distance calculations.
  • Familiarity with integration techniques in calculus.
  • Knowledge of cylindrical coordinates for spatial analysis.
  • Experience with mathematical modeling of physical systems.
NEXT STEPS
  • Study the principles of force calculations in physics, focusing on inverse square laws.
  • Learn about integration methods applicable to multi-variable functions.
  • Explore cylindrical coordinate systems and their applications in physics.
  • Investigate mathematical modeling techniques for particle interactions in confined spaces.
USEFUL FOR

Students and professionals in physics, mathematicians, and engineers involved in particle dynamics and force calculations in confined geometries.

MMD
Messages
6
Reaction score
0
A container with radius R and height l contains n particles. If all particles in the container are equally distanced from each others by a distance and the force from each particles to the point A is f = K/ d^2 (K=constant and AB = d), please find the total force from all particles to the point A using integration (h = constant).

Please view the attachment for a figure illustrating the problem.

Thank you.
 

Attachments

  • untitled-3.JPG
    untitled-3.JPG
    11.5 KB · Views: 463
Physics news on Phys.org
Do you have any thoughts on the question? Please note that we must see some work before we can help.
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
1K
  • · Replies 7 ·
Replies
7
Views
1K
Replies
22
Views
2K
  • · Replies 3 ·
Replies
3
Views
976
  • · Replies 5 ·
Replies
5
Views
1K
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
556
Replies
1
Views
1K
Replies
20
Views
2K
Replies
13
Views
2K