### Problem StatementFind the stress in CD. Area of CD = \( 2 \, m^2 \)#### DiagramThe diagram depicts two rectangular blocks with various forces acting on them:- A rectangle is labeled with points A to F, marking its boundaries.- There are two forces acting towards the left side: - A force of 40 N at point A. - A force of 10 N at point C.- There are two forces acting towards the right side: - A force of 30 N at point F. ### OptionsA. \( 15 \, N/m^2 \) B. \( 5 \, N/m^2 \) C. \( 20 \, N/m^2 \) D. None of these#### Explanation of Diagram:The diagram shows a system in equilibrium with forces distributed along a line through the blocks at points labeled A, B, C, D, E, and F. The forces are as follows:- 40N force at point A, directed left.- 10N force between points C and D, directed left.- 30N force at point F, directed right.The objective is to find the stress in the section CD, which has an area of \( 2 \, m^2 \).#### Steps for Calculation:1. **Determine Net Force in CD:** The net force acting on CD can be calculated by analyzing the internal force distribution. Assume equilibrium for section CD: Net Force in CD = \( 40N - 10N - 30N \) = \( 0N \)2. **Calculate Stress:** Stress is given by the formula: \( \sigma = \frac{F}{A} \) where \( F \) is the force and \( A \) is the area. Substitute the values: \( \sigma = \frac{0N}{2 \, m^2} \) = \( 0 \, N/m^2 \) As the net force is 0, the correct option is \( \text{None of these} \).Hence, the correct answer is:D. None of these

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Description: ### Problem StatementFind the stress in CD. Area of CD = \( 2 \, m^2 \)#### DiagramThe diagram depicts two rectangular blocks with various forces acting on them:- A rectangle is labeled with points A to F, marking its boundaries.- There are two for

Given, Area of section CD = ACD = 2 m2 Free body diagrams of each section can be drawn as shown…

Answered: Find the stress in CD. Area of CD = 2…

Engineering

Mechanical Engineering

Find the stress in CD. Area of CD = 2 m² A B C D 40N 15 N/m² 5 N/m² 20 N/m² A None of these C B 10N D E F 30N D

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### Problem Statement

Find the stress in CD.
Area of CD = \( 2 \, m^2 \)

#### Diagram
The diagram depicts two rectangular blocks with various forces acting on them:

- A rectangle is labeled with points A to F, marking its boundaries.
- There are two forces acting towards the left side:
- A force of 40 N at point A.
- A force of 10 N at point C.
- There are two forces acting towards the right side:
- A force of 30 N at point F.

### Options

A. \( 15 \, N/m^2 \)
B. \( 5 \, N/m^2 \)
C. \( 20 \, N/m^2 \)
D. None of these

#### Explanation of Diagram:
The diagram shows a system in equilibrium with forces distributed along a line through the blocks at points labeled A, B, C, D, E, and F. The forces are as follows:

- 40N force at point A, directed left.
- 10N force between points C and D, directed left.
- 30N force at point F, directed right.

The objective is to find the stress in the section CD, which has an area of \( 2 \, m^2 \).

#### Steps for Calculation:
1. **Determine Net Force in CD:**

The net force acting on CD can be calculated by analyzing the internal force distribution. Assume equilibrium for section CD:

Net Force in CD = \( 40N - 10N - 30N \)
= \( 0N \)

2. **Calculate Stress:**

Stress is given by the formula:

\( \sigma = \frac{F}{A} \)

where \( F \) is the force and \( A \) is the area.

Substitute the values:

\( \sigma = \frac{0N}{2 \, m^2} \)
= \( 0 \, N/m^2 \)

As the net force is 0, the correct option is \( \text{None of these} \).

Hence, the correct answer is:
D. None of these

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