A horizontally positioned door weighing 1200 N is held in place by hinges centered at points A and B and a taut rope stretched between points D and E. The hinges facilitate "smooth" rotation about the x-axis, and point C coincides with the door's center of gravity. Questions: (a) Sketch a free-body diagram of the door, showing all possible forces and reactions exerted on the door. (b) Is the problem statically determinate or indeterminate in its current form? Jus- tify your answer. (c) If the hinge at point B is broken and physically disconnected from the door, such that the door is now only supported at points A and D, is the problem statically determinate or indeterminate? Justify your answer. (d) Assuming the scenario in part (c), solve for the reaction forces and moments at hinge A and the tension T in the cable.

A horizontally positioned door weighing 1200 N is held in place by hinges centered at points A and B and a taut rope stretched between points D and E. The hinges facilitate "smooth" rotation about the x-axis, and point C coincides with the door's center of gravity. Questions: (a) Sketch a free-body diagram of the door, showing all possible forces and reactions exerted on the door. (b) Is the problem statically determinate or indeterminate in its current form? Jus- tify your answer. (c) If the hinge at point B is broken and physically disconnected from the door, such that the door is now only supported at points A and D, is the problem statically determinate or indeterminate? Justify your answer. (d) Assuming the scenario in part (c), solve for the reaction forces and moments at hinge A and the tension T in the cable.

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.80P

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