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...
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...