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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. > > > > 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)



