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 acce1eration (J.. Each of the two arms has weight w per unit length and supports weight W = 10wL 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.