Halliday, Resnick & Walker — Equilibrium and Elasticity: Problem Problem_65

In Fig. 12.59, a uniform beam with a weight of 60 N and a length of 3.2 m is hinged at its lower end, and a horizontal force \(\vec{F}\) of magnitude 50 N acts at its upper end. The beam is held vertical by a cable that makes angle \(\theta = 25^\circ\) with the ground and is attached to the beam at height \(h = 2.0\text{ m}\). What are (a) the tension in the cable and (b) the force on the beam from the hinge in unit-vector notation?