Find equation of path of a point mass under influence of 2 central forces

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Homework Help Overview

The problem involves a point mass influenced by two central forces, specifically examining the motion of a mass C under the gravitational influence of masses A and B, arranged in a specific geometric configuration. The context is rooted in classical mechanics and gravitational interactions.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the setup of the problem, including the arrangement of the masses and the implications of their relative sizes. Questions are raised about the initial conditions and the interpretation of the angles involved in the motion of mass C.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the mathematical expressions and the proper format for posting LaTeX code. There is an indication of attempts to share solutions and engage with the problem, but no consensus has been reached on the approach to take.

Contextual Notes

Participants express challenges with formatting mathematical expressions for clarity and seek guidance on the correct usage of LaTeX in the forum. There is also a mention of external resources where attempts at solving the problem have been posted.

taureau20
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A point mass ‘A’ is kept at the origin. Another B is kept at the x-axis at x = H. Another C is kept at distance H from origin and distance h from B. A, B and C thus form an isosceles triangle with vertex A. Given that A's mass >> B's mass >> C's mass; Newton’s gravitational law governs the bodies. C will have motion because of both A and B while B will have motion because of A only.
Find:
The equation of path of C in any coordinate system given that B and C have zero initial velocities.
 
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Welcome to PF!

Hi taureau20! Welcome to PF! :smile:

Show us what you've tried, and where you're stuck, and then we'll know how to help. :smile:
 
Last edited by a moderator:
taureau20 said:
tell me within what tags must I enclose the LATEX code so I can post mathematuical expressions here. I can't do that here. Plz help w.r.t. that.

anyway, you may click http://www.physicshelpforum.com/phy...urce-one-stationary-one-moving.html#post1534"; in this site, the LATEX coding has worked so I have posted my attempt at solving this problem.

You can take it from there!

Thanks!

Hi taureau20! :smile:

sorry, but I can't follow your equations (3) and (4) :confused:

is theta measured from B or from C?

why is there no ka in (3)?

Can you check it, and type it out again, here … for LaTeX in this forum, just type [noparse][tex]before and[/tex] after.[/noparse] :smile:
 
Last edited by a moderator:

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