Chapter 17 - Planar Kinetics of a Rigid Body: Force and Acceleration - Section 17.1 - Mass Moment of Inertia - Problems - Page 421: 16

(a) $L=6.39$ m (b) $I_{O}=53.2$ kg*m$^2$

$y=\frac{(6)(1.5)+(1.3)(2)(0.65)}{6+(1.3)(2)+(L)(2)}=0.5$ $L=6.39$ m $I_{O}=\Sigma I_{G}+md^2=((\pi) (0.2)^2(0.25)+(6)(1)^2)+(\frac{1}{12})(1.3)^3(2)+(2)(1.3)(0.15)^2+(\frac{1}{12})(2)(6.39)(6.39)^2+(2)(6.39)(0.5)^2)$ $=53.2$ kg*m$^2$