Halliday, Resnick & Walker — Equilibrium and Elasticity: Problem Problem_31

In Fig. 12.33, a nonuniform bar is suspended at rest in a horizontal position by two massless cords. One cord makes the angle \(\theta = 36.9^{\circ}\) with the vertical; the other makes the angle \(\phi = 53.1^{\circ}\) with the vertical. If the length \(L\) of the bar is 6.10 m, compute the distance \(x\) from the left end of the bar to its center of mass.