고체역학 (Gere) — Shear Forces and Bending Moments: Problem 4.3-27

4.3-27 The centrifuge shown in the figure rotates in a horizontal plane (the $x-y$ plane) on a smooth surface about the $z$ axis (which is vertical) with an angular acceleration $\alpha$. Each of the two arms has a weight $w$ per unit length and supports a weight $W = 2.0wL$ at its end. Derive formulas for the maximum shear force and maximum bending moment in the arms, assuming $b = L/9$ and $c = L/10$.