The centrifuge shown in the figure rotates in a horizontal plane (the xy plane) on a smooth surface about the z axis (which is vertical) with an angular acceleration α. Each of the two arms has weight w per unit length and supports a weight W = 2.0 wL at its end.
Derive formulas for the maximum shear force and maximum bending moment in the arms, assuming b = L/9 and c = L/10.

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W.