93. As shown below, if M = 5.50 kg, what is the tension in string 1? %3D od s lo 40° 2.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Ch.5 Problem 93
### Problem 93:
Given the setup in the diagram, if \( M = 5.50 \, \text{kg} \), determine the tension in string 1.

### Diagram Description:
The diagram shows a mass \( M \) hanging from two strings labeled as 1 and 2, forming angles with the vertical. String 1 forms an angle of 40 degrees with the vertical, and string 2 is at a symmetric angle of 40 degrees on the opposite side. The mass \( M \) is suspended at the junction of these strings.

### Solution Approach:
To determine the tension in string 1, apply the principles of equilibrium, where the sum of forces in both the horizontal and vertical directions should be zero. Consider the gravitational force acting on the mass and resolve tensions into components. Use trigonometric relations to relate these components for both strings.
Transcribed Image Text:### Problem 93: Given the setup in the diagram, if \( M = 5.50 \, \text{kg} \), determine the tension in string 1. ### Diagram Description: The diagram shows a mass \( M \) hanging from two strings labeled as 1 and 2, forming angles with the vertical. String 1 forms an angle of 40 degrees with the vertical, and string 2 is at a symmetric angle of 40 degrees on the opposite side. The mass \( M \) is suspended at the junction of these strings. ### Solution Approach: To determine the tension in string 1, apply the principles of equilibrium, where the sum of forces in both the horizontal and vertical directions should be zero. Consider the gravitational force acting on the mass and resolve tensions into components. Use trigonometric relations to relate these components for both strings.
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