College Physics
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Transcribed Image Text:**Instructions for Drawing a Free-Body Diagram**
**Task:**
Draw a free-body diagram showing all the forces acting on the block.
**Requirements for Full Credit:**
- Correctly labeled axes
- Properly labeled forces
- Accurately indicated angles
Ensure that your diagram is clear and complete to properly represent the physical scenario. This will help you understand the forces involved and how they interact.
Transcribed Image Text:### Physics Problem: Block on an Inclined Plane with Tension and Applied Force
#### Problem Statement:
A block of mass \( m = 10 \) kg sits on a **frictionless** ramp that has an inclination angle \( \theta = 20 \) degrees. A rope connects the block to the ceiling. The rope hangs straight down and exerts a tension \( T = 50 \) N on the block. In order to keep the block sitting still, you need to apply a force \( \mathbf{F} \) up along the ramp as shown in the diagram.
#### Diagram Explanation:
The diagram shows a block of mass \( m \) placed on an inclined plane (ramp). The following elements are depicted:
1. **Inclined Plane**:
- The plane is inclined at an angle \( \theta = 20 \) degrees from the horizontal.
- The angle \( \theta \) is marked at the lower-left corner of the ramp.
2. **Block**:
- The block is represented as a blue rectangle labeled with mass \( m \).
3. **Rope**:
- An orange rope is attached to the top of the block and connected vertically to the ceiling. This rope exerts a tension \( T = 50 \) N on the block.
4. **Applied Force**:
- A pink arrow labeled \( \mathbf{F} \) is shown pointing up the ramp. This illustrates the force that needs to be applied to keep the block stationary.
5. **Coordinate Indicators**:
- There are right-angle indicators and \( \theta \) angle indication for clarity on angles and force directions.
This setup requires the applied force \( \mathbf{F} \) to counteract the gravitational component along the incline and the tension from the rope to maintain equilibrium and keep the block stationary on the frictionless ramp.
#### Analysis:
To solve for the required force \( \mathbf{F} \), you would likely perform a force analysis along the inclined plane and perpendicular to it, considering the gravitational force components, the tension in the rope, and the applied force.
This ensures a comprehensive understanding of the statics involved in an inclined plane scenario, which is essential in fields such as physics, engineering, and mechanics.
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