Chapter 12, Problem 33P

Figure 12-49a shows a vertical uniform beam of length L that is hinged at its lower end. A horizontal force $\stackrel{\to }{F_a}$ is applied tothe beam at distance y from the lower end. The beam remains vertical because of a cable attached at the upper end, at angle θ with the horizontal. Figure 12-49b gives the tension T in the cable as a function of the position of the applied force given as a fraction y/L of the beam length. The scale of the T axis is set by T_s = 600 N. Figure 12-19c gives the magnitude F_h of the horizontal force on the beam from the hinge, also as a function of y/L. Evaluate (a) angle θ and (b) the magnitude of $\stackrel{\to }{F_a}$.

Figure 12-49 Problem 33.