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. 0.25 m X4 AZ 1.5 m 21 (0,0,0) B 0.25 m 2 m y (-0.75,1,0) C D (0.25,2,0) E 2 m 3 m 0.5 m 0.5 m

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. 0.25 m X4 AZ 1.5 m 21 (0,0,0) B 0.25 m 2 m y (-0.75,1,0) C D (0.25,2,0) E 2 m 3 m 0.5 m 0.5 m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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