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y 50 lb 45° 5. 4 Dore nu 90 lb 3

y 50 lb 45° 5. 4 Dore nu 90 lb 3

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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If the magnitude of the resultant force acting on the bracket is 80 pounds director along do u axis, determine the magnitude of F and its direction
The image depicts a mechanical diagram involving forces acting on a pulley system. Here's a detailed transcription and explanation intended for an educational context: **Description:** 1. **Pulley System:** - A diagram visualizes a pulley setup with a curved guide. - The guide is in a fixed position, drawn on the left side of the diagram. 2. **Forces and Angles:** - A rope passes over the pulley, exerting a force (F) at an angle θ with respect to the horizontal x-axis. - The force F forms a 45° angle with the horizontal direction, as indicated in the diagram. - A horizontal force of 50 lb is acting towards the right along the x-axis. - A downward force of 90 lb is acting towards the bottom, represented as a vector. 3. **Coordinate System:** - The diagram includes an orthogonal coordinate system with axes labeled x, y, and u. - The u-axis is at an angle to the y-axis, and components of the forces are displayed using a right triangle with side lengths 3, 4, and 5. 4. **Key Elements:** - The vector representations provide a visual understanding of force components and directions. - The setup helps in analyzing the mechanical equilibrium of the system, considering the resolved force components. This diagram can be used to teach concepts in physics or engineering, such as vector resolution of forces, equilibrium conditions in mechanics, or the role of angles and trigonometry in force analysis.
Transcribed Image Text:The image depicts a mechanical diagram involving forces acting on a pulley system. Here's a detailed transcription and explanation intended for an educational context: **Description:** 1. **Pulley System:** - A diagram visualizes a pulley setup with a curved guide. - The guide is in a fixed position, drawn on the left side of the diagram. 2. **Forces and Angles:** - A rope passes over the pulley, exerting a force (F) at an angle θ with respect to the horizontal x-axis. - The force F forms a 45° angle with the horizontal direction, as indicated in the diagram. - A horizontal force of 50 lb is acting towards the right along the x-axis. - A downward force of 90 lb is acting towards the bottom, represented as a vector. 3. **Coordinate System:** - The diagram includes an orthogonal coordinate system with axes labeled x, y, and u. - The u-axis is at an angle to the y-axis, and components of the forces are displayed using a right triangle with side lengths 3, 4, and 5. 4. **Key Elements:** - The vector representations provide a visual understanding of force components and directions. - The setup helps in analyzing the mechanical equilibrium of the system, considering the resolved force components. This diagram can be used to teach concepts in physics or engineering, such as vector resolution of forces, equilibrium conditions in mechanics, or the role of angles and trigonometry in force analysis.
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