How to rearrange this equation?

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Discussion Overview

The discussion revolves around the rearrangement of an equation related to physics, specifically involving forces and friction. Participants seek clarification on the mathematical steps required to isolate the variable μ in the equation.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant presents an equation 1/M (F-μmg)=μmg/g and expresses confusion about how it simplifies to μ=F/(M+m)g.
  • Another participant challenges the initial equation, suggesting it has inconsistent units and proposes a corrected version: 1/M (F-μmg)=μmg/m.
  • This participant also suggests that after simplifying the right side, multiplying both sides by M would lead to a different form of the equation.
  • A subsequent reply confirms the correction and asks for guidance on the next steps after multiplying both sides by M, noting the presence of μ on both sides of the equation.
  • Another participant advises to bring all terms involving μ to one side and factor it out to progress towards the solution.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the initial equation's correctness, with some agreeing on the need for a correction while others focus on the rearrangement process itself.

Contextual Notes

There are unresolved issues regarding the assumptions made about the equations, particularly concerning the units and the steps for isolating μ.

medougie
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How to rearrange this equation?
apparently 1/M (F-μmg)=μmg/g
goes to
μ=F/(M+m)g
but I don't see how please help
i never learned the simple maths and I am paying for it now
 
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The first equation looks wrong - assuming this comes from physics, it has inconsistent units.
My guess: 1/M (F-μmg)=μmg/m
In that case, you can simplify the m/m on the right side, and multiply both sides with M afterwards.

I guess the second equation should be μ=F/((M+m)g)? Better: ##\displaystyle \mu = \frac{F}{(M+m)g}##
 
yes your right i wrote that wrong it should have been 1/M (F-μmg)=μmg/m.
what do i do once i multiply both sides by M?
I have μ on both sides and I am solving for μ
 
I have μ on both sides and I am solving for μ
Bring both parts with μ on the same side, factor it out, and you are just one step away from the solution.
 

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