Walker, Halliday & Resnick — Equilibrium and Elasticity: Problem 10

10 In Fig. 12-21, a nonuniform bar is suspended at rest in a horizontal position by two massless cords. One cord makes the angle \(\theta = 30.0^\circ\) with the vertical; the other makes the angle \(\phi = 60.0^\circ\) with the vertical. If the length \(L\) of the bar is \(9.50\text{ m}\), compute the distance \(x\) from the left end of the bar to its center of mass.