A 160-lb overhead garage door consists of a uniform rectangular panel AC, 84 in. long

Chapter 4, Problem 4.19

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A 160-lb overhead garage door consists of a uniform rectangular panel AC, 84 in. long, supported by the cable AE attached at the middle of the upper edge of the door and by two sets of frictionless rollers at A and B. Each set consists of two rollers located on either side of the door. The rollers A are free to move in horizontal channels, while the rollers B are guided by vertical channels. If the door is held in the position for which BD = 42 in., determine (a) the tension in cable AE, (b) the reaction at each of the four rollers.

                                                             

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