Through a frictionless pulley, a two body system is set up on an inclined surface with kinetic frictional coefficient of 0.30. The big M is 8 kg, and the small m is 3 kg, the inclined surface is 40 degrees. 20. Find the kinetic frictional force.

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**Inclined Plane and Pulley System Analysis**

In this setup, a frictionless pulley connects two masses. The large mass \( M \) is 8 kg and rests on an inclined plane with an angle of 40 degrees, while the small mass \( m \) is 3 kg and hangs vertically. The coefficient of kinetic friction between the large mass and the inclined surface is 0.30.

**Questions:**

20. *Find the kinetic frictional force.*

21. *Find the parallel force component of the big M along the inclined.*

22. *Which way will the system go?*

23. *What is the acceleration of the system?*

24. *What is the tension on the string?*

**Diagram Explanation:**

The diagram illustrates an inclined plane with an angle \( \theta \) of 40 degrees. The large mass \( M \) is on the plane, attached to a string passing over a pulley at the top of the incline. The smaller mass \( m \) hangs vertically from the other end of the string. The forces acting on the masses include gravitational force, frictional force, tension in the string, and the force due to gravity along the plane.
Transcribed Image Text:**Inclined Plane and Pulley System Analysis** In this setup, a frictionless pulley connects two masses. The large mass \( M \) is 8 kg and rests on an inclined plane with an angle of 40 degrees, while the small mass \( m \) is 3 kg and hangs vertically. The coefficient of kinetic friction between the large mass and the inclined surface is 0.30. **Questions:** 20. *Find the kinetic frictional force.* 21. *Find the parallel force component of the big M along the inclined.* 22. *Which way will the system go?* 23. *What is the acceleration of the system?* 24. *What is the tension on the string?* **Diagram Explanation:** The diagram illustrates an inclined plane with an angle \( \theta \) of 40 degrees. The large mass \( M \) is on the plane, attached to a string passing over a pulley at the top of the incline. The smaller mass \( m \) hangs vertically from the other end of the string. The forces acting on the masses include gravitational force, frictional force, tension in the string, and the force due to gravity along the plane.
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