Figure 12-49a shows a vertical uniform beam of length L that is hinged at its lower end

Chapter 12, Problem 33

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Figure 12-49a shows a vertical uniform beam of length L that is hinged at its lower end. A horizontal force is applied to the beam at distance y from the lower end. The beam remains vertical because of a cable attached at the upper end, at angle u 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 Ts 600 N. Figure 12-49c gives the magnitude Fh of the horizontal force on the beam from the hinge, also as a function of y/L. Evaluate (a) angle u and (b) the magnitude of . FaCableyL)Ts0 0.2 0.4y/L0.6 0.8 1Fh (N)2401200 0.2 0.4y/L0.6 0.8 1(b) (c)Figure 12-49 33.

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