### Problem 6: Equilibrium of a Mass Held by Two CordsA mass $ M $ is held in equilibrium by two cords. The diagram illustrates the setup:- **Cord #1** is oriented at an angle of $ 30^\circ $ from the vertical.- **Cord #2** is oriented at an angle of $ 60^\circ $ from the vertical.- The cords form a symmetrical pattern with the angles indicating their divergence from the vertical line where the mass is suspended.**Objective:**Calculate the tension in cord #2.**Diagram Explanation:**- The mass $ M $ is located at the bottom, connected to the two cords.- The left cord is labeled as “cord #2” and makes an angle of $ 60^\circ $ with the vertical.- The right cord is labeled as “cord #1” and makes an angle of $ 30^\circ $ with the vertical.- There is a clear differentiation of angles represented by dashed lines indicating the horizontal component.**Space for Calculation:**Use the blank space provided to show your calculations.**Answer Format:**\[ \text{Answer 6:} \, \_\_\_\_\_\_\_\_\_\_ \] Fill in the calculated tension value for cord #2.

Name: ### Problem 6: Equilibrium of a Mass Held by Two CordsA mass $ M $
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Description: ### Problem 6: Equilibrium of a Mass Held by Two CordsA mass $ M $ is held in equilibrium by two cords. The diagram illustrates the setup:- **Cord #1** is oriented at an angle of $ 30^\circ $ from the vertical.- **Cord #2** is oriented at an ang

Let the tension in cord 1 = t Let the tension in cord 2 = T Using equilibrium of forces in x direction t cos (30) = T sin(60)t = T ...(1) Using equilibrium of forces in y direction t Sin (30)+ T cos(60) = Mg Put value from equation (1) T(0.5) + T(0.5) = Mg T = Mg Therefore, tension in cord 2 = Mg

Answered: 6. A mass is held in equilibrium as…

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6. A mass is held in equilibrium as shown below. cord #2 cord #1 60° 30° What is the tension in cord #2?

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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### Problem 6: Equilibrium of a Mass Held by Two Cords

A mass $ M $ is held in equilibrium by two cords. The diagram illustrates the setup:

- **Cord #1** is oriented at an angle of $ 30^\circ $ from the vertical.
- **Cord #2** is oriented at an angle of $ 60^\circ $ from the vertical.
- The cords form a symmetrical pattern with the angles indicating their divergence from the vertical line where the mass is suspended.

**Objective:**

Calculate the tension in cord #2.

**Diagram Explanation:**

- The mass $ M $ is located at the bottom, connected to the two cords.
- The left cord is labeled as “cord #2” and makes an angle of $ 60^\circ $ with the vertical.
- The right cord is labeled as “cord #1” and makes an angle of $ 30^\circ $ with the vertical.
- There is a clear differentiation of angles represented by dashed lines indicating the horizontal component.

**Space for Calculation:**

Use the blank space provided to show your calculations.

**Answer Format:**

\[ \text{Answer 6:} \, \_\_\_\_\_\_\_\_\_\_ \]

Fill in the calculated tension value for cord #2.

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