A crate sits on a rough surface. Using a rope, a man applies a force to the crate as shown in the figure. The force is not enough to move the crate, however, and it remains stationary. If necessary, use Fs for the force of static friction, and Fk as the force of kinetic friction. Draw the Free Body Diagram for the crate.
A crate sits on a rough surface. Using a rope, a man applies a force to the crate as shown in the figure. The force is not enough to move the crate, however, and it remains stationary. If necessary, use Fs for the force of static friction, and Fk as the force of kinetic friction. Draw the Free Body Diagram for the crate.
A crate sits on a rough surface. Using a rope, a man applies a force to the crate as shown in the figure. The force is not enough to move the crate, however, and it remains stationary. If necessary, use Fs for the force of static friction, and Fk as the force of kinetic friction. Draw the Free Body Diagram for the crate.
A crate sits on a rough surface. Using a rope, a man applies a force to the crate as shown in the figure. The force is not enough to move the crate, however, and it remains stationary. If necessary, use Fs for the force of static friction, and Fk as the force of kinetic friction. Draw the Free Body Diagram for the crate.
Transcribed Image Text:### Understanding Forces: Pulling a Crate
In the diagram above, a person is depicted pulling a wooden crate across a flat surface. The forces and angles involved are critical for understanding the mechanics of motion in this scenario.
#### Key Elements:
1. **Person Pulling the Crate**:
- The individual is applying a force \( F \) to move the crate. This force is shown as a blue arrow directed upwards and to the right.
2. **Force \( F \)**:
- The force \( F \) represents the applied force that the person exerts on the rope to pull the crate.
- This force is angled and not applied horizontally.
3. **Angle \( \theta \)**:
- \( \theta \) (theta) is the angle between the horizontal ground and the direction of the applied force \( F \).
- This is crucial because the force can be broken down into two components: the horizontal component (which moves the crate) and the vertical component (which adds to or reduces the normal force).
4. **Coordinates System**:
- A coordinate system is depicted on the left side, with \( x \)-axis representing the horizontal direction and \( y \)-axis representing the vertical direction.
5. **Force Components**:
- To understand the effect of the force \( F \), it is often broken down into its horizontal (\( F_x \)) and vertical (\( F_y \)) components:
- \( F_x = F \cos(\theta) \)
- \( F_y = F \sin(\theta) \)
6. **Crate and Surface Interaction**:
- The crate is on a flat surface, indicating the presence of friction that opposes the motion.
- The normal force can be adjusted by the vertical component of the pulling force.
#### Application:
When analyzing such systems in physics, we apply Newton's laws of motion to understand the resultant acceleration of the crate and the effect of friction. This type of problem is fundamental in mechanics, helping us calculate the required force to move objects and understand how angles affect the efficiency of applying forces.
By breaking down forces into components and using trigonometric functions, we can solve for unknown variables and predict the motion of objects under different conditions.
Definition Definition Force that opposes motion when the surface of one item rubs against the surface of another. The unit of force of friction is same as the unit of force.
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