Recent content by smyers33
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Linear Density, center of mass of a rod
Okay here's what I got, hopefully I'm right. mass = ∫1/(100-x)dx = -ln(|x-100|) solved at 0 and 50 = ln(2) moment = ∫x/(100-x)dx = -(100*ln(|x-100|)+x) solved at 0 and 50 = 50*(2*ln(2)-1) center of mass = moment/mass ≈27.8652 cm ? hopefully :) and if this is correct there is also a...- smyers33
- Post #5
- Forum: Calculus and Beyond Homework Help
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Linear Density, center of mass of a rod
So all I do is take the integral of x/(100-x)dx going from 0-50, to find the first moment?- smyers33
- Post #3
- Forum: Calculus and Beyond Homework Help
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Linear Density, center of mass of a rod
Homework Statement A metal rod is 50cm long. Its linear density at the point x cm from the left end is given by the equation p(x)=1/(100-x) gm/cm. Find the mass and center of mass for the rod. Homework Equations mass = \int p(x)dx center of mass = moment / mass The Attempt at a...- smyers33
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- Center Center of mass Density Linear Linear density Mass Rod
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- Forum: Calculus and Beyond Homework Help