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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
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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need help with Part D Please

**Transcription of Text and Explanation of Diagram for Educational Purposes** **Text:** 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? Justify 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. **Diagram Explanation:** The diagram shows a 3D view of a door aligned along the x-y plane. The key elements in the diagram are: - **Points and Dimensions**: - Point A is located at coordinates (0, 0, 0). - Point B is on the y-axis, 1.5 meters from point A. - Point C, the center of gravity, is located at coordinates (-0.75, 1.0, 0). - Point D is at coordinates (0.25, 2.0, 0). - Point E is at coordinates (0.5, 2.0, 3). - **The Door**: - The door is rectangular with a length of 2 meters along the x-axis and an unspecified width on the y-axis. - The door is positioned horizontally, parallel to the ground, supported at hinges A and B. - **Rope**: - A rope is tensioned and runs from point D on the door to point E, which is elevated above the ground along the z-axis. - **Coordinates System**: - The diagram uses a 3D coordinate plane with x, y, and z axes. - The z-axis is vertical, and both the x-axis and y-axis are horizontal. This visual representation facilitates analyzing the forces applied to the door by hinges and the rope in order to address the statics problem described in
Transcribed Image Text:**Transcription of Text and Explanation of Diagram for Educational Purposes** **Text:** 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? Justify 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. **Diagram Explanation:** The diagram shows a 3D view of a door aligned along the x-y plane. The key elements in the diagram are: - **Points and Dimensions**: - Point A is located at coordinates (0, 0, 0). - Point B is on the y-axis, 1.5 meters from point A. - Point C, the center of gravity, is located at coordinates (-0.75, 1.0, 0). - Point D is at coordinates (0.25, 2.0, 0). - Point E is at coordinates (0.5, 2.0, 3). - **The Door**: - The door is rectangular with a length of 2 meters along the x-axis and an unspecified width on the y-axis. - The door is positioned horizontally, parallel to the ground, supported at hinges A and B. - **Rope**: - A rope is tensioned and runs from point D on the door to point E, which is elevated above the ground along the z-axis. - **Coordinates System**: - The diagram uses a 3D coordinate plane with x, y, and z axes. - The z-axis is vertical, and both the x-axis and y-axis are horizontal. This visual representation facilitates analyzing the forces applied to the door by hinges and the rope in order to address the statics problem described in
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