A 75 N crate is at rest on an incline that is inclined a 25° above the horizontal. The coefficient of static friction between the crate and the incline is 0.25 and the coefficient of kinetic friction between the crate and the incline is 0.15. (a) What is the minimum magnitude of a force parallel to the incline that will prevent the crate from sliding down the incline? (b) What is the minimum magnitude of the force parallel to the incline that will start the crate to move up the incline? (c) Include a force (or free body) diagram of each situation.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Inclined Plane Problem: Understanding Forces and Friction**

A 75 N crate is at rest on an incline that is angled 25° above the horizontal. The coefficient of static friction between the crate and the incline is 0.25, while the coefficient of kinetic friction between the crate and the incline is 0.15. The following are the queries to solve:

(a) **Minimum Force to Prevent Sliding Down:**
Determine the minimum magnitude of a force parallel to the incline required to prevent the crate from sliding down the incline.

(b) **Minimum Force to Start Moving Up:**
Calculate the minimum magnitude of the force parallel to the incline necessary to start moving the crate up the incline.

(c) **Force Diagram:**
Include a force (or free body) diagram for each situation to visually represent forces at play.

**Explanation of Diagrams:**
For each scenario, a force diagram should include:
- Gravitational force acting downward.
- Normal force perpendicular to the surface of the incline.
- Frictional force opposing the movement.
- Applied force parallel to the incline (either preventing sliding or initiating movement).
Transcribed Image Text:**Inclined Plane Problem: Understanding Forces and Friction** A 75 N crate is at rest on an incline that is angled 25° above the horizontal. The coefficient of static friction between the crate and the incline is 0.25, while the coefficient of kinetic friction between the crate and the incline is 0.15. The following are the queries to solve: (a) **Minimum Force to Prevent Sliding Down:** Determine the minimum magnitude of a force parallel to the incline required to prevent the crate from sliding down the incline. (b) **Minimum Force to Start Moving Up:** Calculate the minimum magnitude of the force parallel to the incline necessary to start moving the crate up the incline. (c) **Force Diagram:** Include a force (or free body) diagram for each situation to visually represent forces at play. **Explanation of Diagrams:** For each scenario, a force diagram should include: - Gravitational force acting downward. - Normal force perpendicular to the surface of the incline. - Frictional force opposing the movement. - Applied force parallel to the incline (either preventing sliding or initiating movement).
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