Figure (a) shows a vertical uniform beam of length L that is hinged at its lower

Question

Figure (a) shows a vertical uniform beam of length L that is hinged at its lower end. A horizontal force a s 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 with the horizontal. Figure (b) gives the tension Tin 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 Taxis is set by Ts 590 N. Figure (c) gives the magnitude Fh of the horizontal force on the beam from the hinge, also as a function of y/L. Evaluate (a) angle e and (b) the magnitude of F Cable (a) 220 0 0.2 0.4 0.6 0.8 0.2 0.4 0.6 0.8 1 y/L y/L

Explanation / Answer

a) Fa = 220*5/4 = 275 N

Now T cos theta = Fa

590 cos theta = 275

theta = arccos(275/590)

= 62.22 degree

b) Fa =275N

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