How Can I Find a Solution to a Simple Problem?

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Homework Help Overview

The discussion revolves around a geometric problem involving spheres and angles of contact. Participants are exploring the relationships between the spheres and the forces acting on them.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using geometry to determine angles of contact between spheres. Questions arise about how to utilize the radii of the spheres in this context.

Discussion Status

Some guidance has been provided regarding the geometric relationships and forces involved. There is an ongoing exploration of the triangle formed by the centers of the spheres, but no consensus has been reached on a complete solution.

Contextual Notes

The original poster requested a complete solution, indicating a desire for detailed guidance, which has not been fully addressed in the responses.

W_Herbst
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I need a solution to this. If it is possible to show me the complete solution

See attach JPG

Thanks
 

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Use geometry, and show what you have done so far.
 
I`ve got Ground and A and Ground and B. Is there a way of determining the angle (not from the answers) where circel A and C make contact, using the radius?
 
Yes:
1. The forces between the balls acts along the contact normals.
2. If you extend the line of the normal on the surface into the sphere's you'll end up in that sphere's center.
3. But that means you can determine the angles from the triangle drawn between the 3 centres:
Let R be the radius in the big sphere, r the radius in the two smaller spheres:
Then the triangle has sides: 2r,r+R,r+R
 
thank you sorted
 

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