A force F (magnitude F) acts on a box of mass m resting on the ramp and the box remains at rest. The force is directed at an angle above the horizontal. The normal force on the box due to the surface is equal to

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Transcription and Explanation for Educational Purposes

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**Text:**

A force \( \vec{F} \) (magnitude \( F \)) acts on a box of mass \( m \) resting on the ramp and the box remains at rest. The force is directed at an angle \( \theta \) above the horizontal. The normal force on the box due to the surface is equal to

**Diagram Description:**

The diagram illustrates a box resting on an inclined ramp. The ramp is positioned at an angle \( \theta \) relative to the horizontal plane. A force \( \vec{F} \) is shown acting on the box, directed at an angle parallel above the inclined surface. The box remains stationary on the ramp despite the force being applied.

The diagram includes:
- A sloped surface representing the ramp.
- A rectangular representation of the box on the ramp.
- A line denoting the force \( \vec{F} \) with an arrow pointing to the right, indicating the direction of the applied force.
- An angle \( \theta \) marked between the horizontal base of the ramp and the inclined surface.

This setup is typically analyzed in physics to understand the components of the force and how they affect the normal force exerted by the surface on the box. The normal force is a reaction force that acts perpendicular to the surface of contact.
Transcribed Image Text:### Transcription and Explanation for Educational Purposes --- **Text:** A force \( \vec{F} \) (magnitude \( F \)) acts on a box of mass \( m \) resting on the ramp and the box remains at rest. The force is directed at an angle \( \theta \) above the horizontal. The normal force on the box due to the surface is equal to **Diagram Description:** The diagram illustrates a box resting on an inclined ramp. The ramp is positioned at an angle \( \theta \) relative to the horizontal plane. A force \( \vec{F} \) is shown acting on the box, directed at an angle parallel above the inclined surface. The box remains stationary on the ramp despite the force being applied. The diagram includes: - A sloped surface representing the ramp. - A rectangular representation of the box on the ramp. - A line denoting the force \( \vec{F} \) with an arrow pointing to the right, indicating the direction of the applied force. - An angle \( \theta \) marked between the horizontal base of the ramp and the inclined surface. This setup is typically analyzed in physics to understand the components of the force and how they affect the normal force exerted by the surface on the box. The normal force is a reaction force that acts perpendicular to the surface of contact.
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