Show on a free-body diagram how a normal force always remains perpendicular to the contact surface, while the friction force lies parallel to the contact surface

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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### Physics Homework Problems

**8. Show on a free-body diagram how a normal force always remains perpendicular to the contact surface, while the friction force lies parallel to the contact surface**
- **Explanation**: When drawing a free-body diagram, you'll typically represent forces as arrows. The normal force should be drawn as an arrow perpendicular to the surface because this force acts perpendicular to the point of contact, opposing the weight of the object. The frictional force should be drawn parallel to the contact surface, indicating that it acts along the surface to resist relative motion between the surfaces in contact.

**9. Demonstrate graphically that components of friction and normal forces are related to the right-triangle trigonometry terms sine and cosine.**
- **Explanation**: In this problem, you are required to draw a right-angled triangle where the vectors of the normal and frictional forces can be represented as sides of the triangle. The angle between the normal force vector and the resultant force vector can be used to show how the frictional force (opposite side) and normal force (adjacent side) relate to the sine and cosine of that angle, respectively.

**10. Interpret all the ways that a system could reach impending motion and create free-body diagrams for each scenario**
- **Explanation**: Here, an analysis of different ways a system could start moving is needed. This might include scenarios such as increasing the applied force until it overcomes static friction. For each scenario, you need to create a free-body diagram showing all forces acting on the system. This includes the applied force, normal force, frictional force, gravitational force, and any other relevant forces, making sure to show the directions and magnitudes.

### Diagrams
For each of these problems, drawing the respective diagrams would include:

- **Free-body Diagram for Problem 8**: 
  - Sketch of an object in contact with a surface.
  - Arrow perpendicular to the surface indicating the normal force.
  - Arrow parallel to the surface indicating the frictional force.

- **Graphical Demonstration for Problem 9**:
  - Sketch of a right-angled triangle.
  - One side represents the normal force (adjacent side).
  - The other side represents the frictional force (opposite side).
  - The hypotenuse represents the resultant of the two forces.
  - Angle between normal force and resultant force, annotated with sine and cosine relationships.

- **Free-body Diagrams for Problem
Transcribed Image Text:### Physics Homework Problems **8. Show on a free-body diagram how a normal force always remains perpendicular to the contact surface, while the friction force lies parallel to the contact surface** - **Explanation**: When drawing a free-body diagram, you'll typically represent forces as arrows. The normal force should be drawn as an arrow perpendicular to the surface because this force acts perpendicular to the point of contact, opposing the weight of the object. The frictional force should be drawn parallel to the contact surface, indicating that it acts along the surface to resist relative motion between the surfaces in contact. **9. Demonstrate graphically that components of friction and normal forces are related to the right-triangle trigonometry terms sine and cosine.** - **Explanation**: In this problem, you are required to draw a right-angled triangle where the vectors of the normal and frictional forces can be represented as sides of the triangle. The angle between the normal force vector and the resultant force vector can be used to show how the frictional force (opposite side) and normal force (adjacent side) relate to the sine and cosine of that angle, respectively. **10. Interpret all the ways that a system could reach impending motion and create free-body diagrams for each scenario** - **Explanation**: Here, an analysis of different ways a system could start moving is needed. This might include scenarios such as increasing the applied force until it overcomes static friction. For each scenario, you need to create a free-body diagram showing all forces acting on the system. This includes the applied force, normal force, frictional force, gravitational force, and any other relevant forces, making sure to show the directions and magnitudes. ### Diagrams For each of these problems, drawing the respective diagrams would include: - **Free-body Diagram for Problem 8**: - Sketch of an object in contact with a surface. - Arrow perpendicular to the surface indicating the normal force. - Arrow parallel to the surface indicating the frictional force. - **Graphical Demonstration for Problem 9**: - Sketch of a right-angled triangle. - One side represents the normal force (adjacent side). - The other side represents the frictional force (opposite side). - The hypotenuse represents the resultant of the two forces. - Angle between normal force and resultant force, annotated with sine and cosine relationships. - **Free-body Diagrams for Problem
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