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Topic: Theory of errors: center of gravity
Replies: 7   Last Post: Mar 14, 2013 2:40 PM

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 Red Star Posts: 136 Registered: 6/28/08
Re: Theory of errors: center of gravity
Posted: Mar 10, 2013 6:47 PM

Il giorno giovedì 7 marzo 2013 22:42:52 UTC+1, Paul ha scritto:
> Using the first order approximation in the wiki entry, I get dX = 0.011280837, which is between dx1 and dx2. You might have an error in your calculations.
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> Paul

May you show the steps of the calculation?

Maybe there is a fault in my differentiation:

F1 = dX/dx1 = m1/(m1+m2) = 0.5333
F2 = dX/dx2 = m2/(m1+m2) = 0.4667
F3 = dX/dm1 = x1/(m1 + m2) - (m1*x1 + m2*x2)/(m1 + m2)^2 = -0.0062
F4 = dX/dm2 = x2/(m1 + m2) - (m1*x1 + m2*x2)/(m1 + m2)^2 = 0.0071

Then:

dX = sqrt(F1^2 * dx1^2+...
F2^2 * dx2^2+...
F3^2 * dm1^2+...
F4^2 * dm2^2)

Date Subject Author
3/7/13 Red Star
3/7/13 David Jones
3/7/13 Paul
3/10/13 Red Star
3/10/13 Paul
3/10/13 Paul
3/14/13 Red Star
3/7/13 Steve Oakley