- #1

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- Homework Statement
- A bar of length ##L##, width ##a## and mass ##M## revolves around its center, with 2 cylinders of radio ##r## and mass ##m## anchored to each of its ends at a distance d from the center of the bar. Considering the parallel axes theorem, determine the moment of inertia of this system.

- Relevant Equations
- ##I=\int r^2dm##

I first tried to calculate the moment of inertia of the bar. The problem is that I don't understand exactly how are the dimensions of the bar. The fact that it has a width ##a## means that its height is ##a##, or that it has an unknown hight and the width is ##a##, like a parallelepiped? After that I must calculate the moment of inertia of the cylinders with respect to the axis, right? so I can apply the Steiner theorem. The moment of inertia of the cylinders with respecto to their own center of mass is ##\frac{1}{2}mr^2, right? Now, how do I calculate the moment of inertia of the bar in ordder to apply the Steiner theorem?