Learning Goal: To understand how to draw the free-body diagram of an object in equilibrium. For a body to be in equilibrium, two criteria must be met: ΣF = 0 Σ Μo = 0 That is, the sum of the forces and the sum of the moments acting on the body must equal zero. Successful application of these equations of equilibrium requires that all known and unknown forces that act on the body be identified. The best way to account for these forces is to draw a free-body diagram. Figure B 1 of 2 > F₂ ▼ Part A Determine whether the following rigid bodies are in equilibrium and sort them accordingly. Drag the appropriate items to their respective bins. ▸ View Available Hint(s) 3 m 4N D 8N i4 16 N1 In equilibrium 20 N 14 m 2 m Case 3 3N ID C₁ B 3N 10 N 14 m 13 m 8 SN Case 2 3N 3 m D C₁₁ B Reset Help Not in equilibrium 14 m 14 m 3N 14 4N1 IN Case 1

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Learning Goal:**

To understand how to draw the free-body diagram of an object in equilibrium.

For a body to be in equilibrium, two criteria must be met:

\[
\sum F = 0
\]

\[
\sum M_{O} = 0
\]

That is, the sum of the forces and the sum of the moments acting on the body must equal zero. Successful application of these equations of equilibrium requires that all known and unknown forces that act on the body be identified. The best way to account for these forces is to draw a free-body diagram.

**Figure:**

- Diagram (1 of 2): Displays a horizontal beam supported at two points, \( A \) and \( B \). Forces \( F_1 \) and \( F_2 \) are acting vertically on the beam with distances \( l_1 \) and \( l_2 \) marked from point \( A \). There is a scale from 0 to 5 along the beam.

**Part A:**

Determine whether the following rigid bodies are in equilibrium and sort them accordingly.

**Instructions:**

Drag the appropriate items to their respective bins.

- Three cases are shown, each with a diagram of a rigid body with forces applied at various points and directions. Each diagram includes labeled forces and distances.

  - **Case 1:** Forces of 3 N and 5 N acting at distances of 3 m and 4 m, with balancing forces.
  - **Case 2:** Forces of 8 N and 10 N acting at distances of 3 m and 4 m.
  - **Case 3:** Forces of 4 N, 20 N, 8 N, and 16 N acting at various distances.

**Bins:**
- "In equilibrium" and "Not in equilibrium" where the cases are to be sorted based on the criteria of equilibrium.

Users can interact by dragging the cases into the correct bins to test their understanding of equilibrium conditions.
Transcribed Image Text:**Learning Goal:** To understand how to draw the free-body diagram of an object in equilibrium. For a body to be in equilibrium, two criteria must be met: \[ \sum F = 0 \] \[ \sum M_{O} = 0 \] That is, the sum of the forces and the sum of the moments acting on the body must equal zero. Successful application of these equations of equilibrium requires that all known and unknown forces that act on the body be identified. The best way to account for these forces is to draw a free-body diagram. **Figure:** - Diagram (1 of 2): Displays a horizontal beam supported at two points, \( A \) and \( B \). Forces \( F_1 \) and \( F_2 \) are acting vertically on the beam with distances \( l_1 \) and \( l_2 \) marked from point \( A \). There is a scale from 0 to 5 along the beam. **Part A:** Determine whether the following rigid bodies are in equilibrium and sort them accordingly. **Instructions:** Drag the appropriate items to their respective bins. - Three cases are shown, each with a diagram of a rigid body with forces applied at various points and directions. Each diagram includes labeled forces and distances. - **Case 1:** Forces of 3 N and 5 N acting at distances of 3 m and 4 m, with balancing forces. - **Case 2:** Forces of 8 N and 10 N acting at distances of 3 m and 4 m. - **Case 3:** Forces of 4 N, 20 N, 8 N, and 16 N acting at various distances. **Bins:** - "In equilibrium" and "Not in equilibrium" where the cases are to be sorted based on the criteria of equilibrium. Users can interact by dragging the cases into the correct bins to test their understanding of equilibrium conditions.
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