A rod of length L and mass M has a nonuniform mass distribution. The linear mass density (mass per length) is = cx 2

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A rod of length L and mass M has a nonuniform mass distribution.
The linear mass density (mass per length) is λ = cx2, where x is measured from the center of the rod and c is a constant.
a. What are the units of c?
b. Find an expression for c in terms of L and M.
c. Find an expression in terms of L and M for the moment of inertia of the rod for rotation about an axis through the center.

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Solve a In SI units comes in kgm Since x comes in m for the units of cx 2 to be kgm it ... View full answer

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