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1. Determine the x and y components of the forces in the following figure. 125 N 40 ° y 4 100 N 30° Figure 1. Applied Forces 85 N 35° x

1. Determine the x and y components of the forces in the following figure. 125 N 40 ° y 4 100 N 30° Figure 1. Applied Forces 85 N 35° x

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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**Transcription and Explanation for Educational Purposes** --- ### Problem Statement: 1. Determine the x and y components of the forces in the following figure. ### Explanation of Figure 1: Applied Forces The diagram shows a mechanical setup where three forces are applied at different angles from a central point. The forces and angles are as follows: - **Force 1:** 125 N applied at an angle of 40° to the negative x-axis. - **Force 2:** 100 N applied at an angle of 30° to the positive y-axis. - **Force 3:** 85 N applied at an angle of 35° to the positive x-axis. The figure is depicted on an xy-coordinate system, with each force shown as an arrow originating from the central point: - The coordinate axes are labeled as x and y, with arrows indicating the positive directions. **Components to Determine:** - **X-Components:** - Use trigonometric functions to determine the horizontal components of each force based on the angle provided. - **Y-Components:** - Use trigonometric functions to determine the vertical components of each force based on the angle provided. The task involves calculating these components to analyze the resultant force acting on the system.
Transcribed Image Text:**Transcription and Explanation for Educational Purposes** --- ### Problem Statement: 1. Determine the x and y components of the forces in the following figure. ### Explanation of Figure 1: Applied Forces The diagram shows a mechanical setup where three forces are applied at different angles from a central point. The forces and angles are as follows: - **Force 1:** 125 N applied at an angle of 40° to the negative x-axis. - **Force 2:** 100 N applied at an angle of 30° to the positive y-axis. - **Force 3:** 85 N applied at an angle of 35° to the positive x-axis. The figure is depicted on an xy-coordinate system, with each force shown as an arrow originating from the central point: - The coordinate axes are labeled as x and y, with arrows indicating the positive directions. **Components to Determine:** - **X-Components:** - Use trigonometric functions to determine the horizontal components of each force based on the angle provided. - **Y-Components:** - Use trigonometric functions to determine the vertical components of each force based on the angle provided. The task involves calculating these components to analyze the resultant force acting on the system.
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