(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

λ(x)=ae^-bx

Inertia=I=∫dmr^2

dm=λ(x)dx

r=x

I=mr^2

3. 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

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Thin rod nonuniform linear mass density

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