In which of the pictures below is the free- body -diagram of the forces acting on the object correct? "A force F is acting on a book against a wall. The book is sliding down. There is friction." Picture A
In which of the pictures below is the free- body -diagram of the forces acting on the object correct? "A force F is acting on a book against a wall. The book is sliding down. There is friction." Picture A
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### Physics of Forces - Understanding Equilibrium
#### Diagram Analysis
The diagrams in Pictures B and C provide an illustration of forces acting on a block in contact with a wall. These diagrams are crucial for understanding the fundamental principles of equilibrium in physics. Below is a detailed explanation of the diagrams.
#### Picture B:
- **Vectors and Forces:**
- `F`: Represents the applied force on the block (indicated in blue).
- `N`: Represents the normal force exerted by the wall (indicated in purple).
- `y` and `x`: Represent the vertical and horizontal axes, respectively.
- **Orientation:**
- The block is in contact with the room wall on the right.
- An upward force `F` is applied to the block.
- The normal force `N` acts horizontally towards the left, perpendicular to the wall.
This setup is typically analyzed to determine if the block remains in equilibrium under the influence of these forces.
#### Picture C:
- **Vectors and Forces:**
- `F`: Represents the applied force on the block (indicated in blue).
- `N`: Represents the normal force exerted by the wall (indicated in purple).
- `mg`: Represents the gravitational force (weight) acting downward (indicated in blue).
- `y` and `x`: Represent the vertical and horizontal axes, respectively.
- **Orientation:**
- Similar to Picture B, the block is in contact with the room wall on the right.
- An angled force `F` acts on the block, combining both horizontal and vertical components.
- The normal force `N` acts horizontally towards the left, perpendicular to the wall.
- The gravitational force `mg` acts downward due to the weight of the block.
This diagram essentially breaks down the equilibrium conditions considering an additional force, gravity, acting downward. It explores how the combination of the applied force `F`, the normal force `N`, and the gravitational force `mg` interacts to influence the state of the block in equilibrium.
Understanding these diagrams is fundamental for grasping basic concepts in physics such as Newton's laws of motion, specifically the conditions for static equilibrium where the sum of all forces and moments acting on a body is zero.
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This transcription includes a detailed conceptual description suitable for educational purposes, focusing on forces and equilibrium in physics.
Transcribed Image Text:**Educational Content - Free-Body Diagrams**
**Question:**
In which of the pictures below is the free-body diagram of the forces acting on the object correct?
"A force \( F \) is acting on a book against a wall. The book is sliding down. There is friction."
**Explanation of Pictures:**
**Picture A:**
- A book is shown in contact with a wall.
- There is a coordinate system indicating directions \( x \) and \( y \).
- The force \( F \) is acting horizontally towards the right, pushing the book against the wall. This force is represented by an arrow pointing to the right.
- The normal force \( N \) is acting perpendicular to the wall, pointing towards the left. This is indicated by an arrow pointing to the left.
- The weight of the book is shown by an arrow pointing vertically downward, parallel to the y-axis.
- The frictional force \( f \) is acting vertically upwards, parallel to the wall. This friction arrow points upwards.
**Picture B:**
- Another representation of the book in contact with the wall.
- The force \( F \) is acting horizontally towards the right, pushing the book against the wall. This is represented by an arrow pointing to the right.
- The normal force \( N \) is also shown acting perpendicular to the wall, pointing towards the left. This is indicated by an arrow pointing to the left.
- The weight of the book is indicated by an arrow pointing vertically downward, parallel to the y-axis.
- The frictional force \( f \) is acting vertically upwards, in opposition to the downward sliding motion. This arrow points upwards.
In both diagrams, the forces acting on the object include the applied force \( F \), the normal force \( N \), the weight of the book (gravitational force), and the frictional force \( f \). The directions of these forces in each diagram are indicated by arrows.
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