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Homework Statement
A rod of length 36.00 cm has linear density (mass per length) given by
λ = 50.0 + 21.5x
where x is the distance from one end, and λ is measured in grams/meter.
A. Find Total Mass
B. Find center of mass from x=0
Homework Equations
1/M(integral)xdm , where M is total mass
The Attempt at a Solution
So I figured the total mass was the just the integral of the given density equation. Which was correct and part A was found to be 50x + 21.5x^2/2. Substituting in makes gets 19.39g (the right answer.) But I am confusing how to find the total mass with the necessary calculus requred to determine the center of mass. The issue I am having is with determining the center of mass.