An man who pushes a crate dm up along a ramp that makes an angle of 0 with the horizontal (see figure). He exerts a force of FN on the crate parallel to the ramp and moves at a constant speed. Draw a free body diagram of the crate. F

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**Physics of Motion on an Inclined Plane**

An individual pushes a crate of mass \(m\) up along a ramp inclined at an angle \(\theta\) to the horizontal. He applies a force of \(F \, N\) on the crate, parallel to the plane, maintaining a constant speed. The task is to illustrate a free body diagram for the crate.

### Instructions for Free-Body Diagram:
1. **Drag and Drop**: Manipulate the vectors by moving their heads and tails in order to construct the free-body diagram.
2. **Guidelines**: Exact angles aren't necessary, and the magnitudes of the vectors aren't considered.

### Forces and Vectors:
- **\(F; 90^\circ\)**: Represents the applied force by the man.
- **\(f_{fric}; 90^\circ\)**: Symbolizes the frictional force opposing motion.
- **\(N; 90^\circ\)**: Denotes the normal force perpendicular to the surface.
- **\(mg; 90^\circ\)**: Indicates the gravitational force acting downwards.

### Free Body Diagram Setup:
Below the instructions, there is a depiction of the crate placed on an inclined plane. Next to it, coordinate axes (\(x\),\(y\)) are aligned such that \(x\) is along the plane.

This educational material guides students in understanding the dynamics of forces acting on objects on inclined planes by constructing accurate free-body diagrams.
Transcribed Image Text:**Physics of Motion on an Inclined Plane** An individual pushes a crate of mass \(m\) up along a ramp inclined at an angle \(\theta\) to the horizontal. He applies a force of \(F \, N\) on the crate, parallel to the plane, maintaining a constant speed. The task is to illustrate a free body diagram for the crate. ### Instructions for Free-Body Diagram: 1. **Drag and Drop**: Manipulate the vectors by moving their heads and tails in order to construct the free-body diagram. 2. **Guidelines**: Exact angles aren't necessary, and the magnitudes of the vectors aren't considered. ### Forces and Vectors: - **\(F; 90^\circ\)**: Represents the applied force by the man. - **\(f_{fric}; 90^\circ\)**: Symbolizes the frictional force opposing motion. - **\(N; 90^\circ\)**: Denotes the normal force perpendicular to the surface. - **\(mg; 90^\circ\)**: Indicates the gravitational force acting downwards. ### Free Body Diagram Setup: Below the instructions, there is a depiction of the crate placed on an inclined plane. Next to it, coordinate axes (\(x\),\(y\)) are aligned such that \(x\) is along the plane. This educational material guides students in understanding the dynamics of forces acting on objects on inclined planes by constructing accurate free-body diagrams.
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