- #1
Talltunetalk
- 8
- 0
Homework Statement
A thin rod of total length L has a nonuniform density given by λ(x)=ae^-bx where x is distance from one end of the rod. What is the moment of inertia of the rod for rotations around the end at x=0. Measuring from x=0 to x=L
Homework Equations
λ(x)=ae^-bx
Inertia=I=∫dmr^2
dm=λ(x)dx
r=x
I=mr^2
The Attempt at a Solution
my answer is -e^(bL)a[L^2/b + 2L/b^2 + 2/b^3] + 2a/b^3
I do not think this is correct because my units are not in mass*length^2