The density (mass per unit length). Determine the moment of inertia about an axis perpendicular to the rod through its geometric center.
The density (mass per unit length) of a thin rod of length ℓ increases uniformly from λ00
at one end to 3λ at the other end.
Determine the moment of inertia about an axis perpendicular to the rod through its geometric center.
Express your answer in terms of the variables λ0 and ℓ.
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