Center of Mass Help: Understanding Concepts & Equations

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Discussion Overview

The discussion centers around understanding the concept of center of mass, particularly using the equation (m1x1+m2x2)/(m1+m2). Participants explore how to apply this equation when one mass is greater than the other, and seek clarification on the underlying concepts.

Discussion Character

  • Conceptual clarification
  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses confusion about how to apply the center of mass equation when m2 is greater than m1, indicating uncertainty about where to start.
  • Another participant confirms the equation is correct and suggests that knowing the masses and their position vectors is essential for applying the equation.
  • A third participant notes that the center of mass would be located on the same plane as the two masses and suggests it would be closer to the larger mass, m2.
  • A later reply offers a resource for further understanding, recommending a webpage that explains the derivation of the center of mass expression.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the application of the center of mass equation, as there is ongoing confusion and differing levels of understanding among them.

Contextual Notes

Some participants may be missing specific values for the masses and their positions, which are necessary for applying the equation effectively.

Who May Find This Useful

Individuals seeking to understand the concept of center of mass, particularly in the context of basic physics problems involving multiple masses.

daniel1211
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i am having some trouble understanding the concepts of center of mass for example using the equation (m1x1+m2x2)/(m1+m2) if m2>m1 what would be the center of mass i am not sure where to even begin
 
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You have the correct equation. You need the two masses (m1 and m2) and their position vectors (x1 and x2). Once you have those, applying the equation is very simple math.
 
Without anymore information I think the only thing we could see is that the COM would be on the same plane as m1 and m2 and between the two masses but a little closer to m2 since it is the larger of the two.
 
daniel1211 said:
i am having some trouble understanding the concepts of center of mass for example using the equation (m1x1+m2x2)/(m1+m2) if m2>m1 what would be the center of mass i am not sure where to even begin

I recommend that you follow the derivation for the expression for the center of mass at a web page I created just to explain this subject. Its at

http://www.geocities.com/physics_world/mech/center_of_mass.htm

Try it for the case of two particles.

I'll be glad to help further if needed.

Pete
 
daniel1211 - I want to welcome you to the Physics Forums! :smile:

My all your experiences here be good ones.

Pete
 

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