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. 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? M m

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**Physics Problem on Inclined Plane with Pulley System**

In this problem, a two-body system is set up on an inclined surface through a frictionless pulley. This setup involves kinetic friction, with a coefficient of 0.30. The objects in the system are as follows:
- The larger mass (M) is 8 kg.
- The smaller mass (m) is 3 kg.
- The inclined surface makes an angle of 40 degrees with the horizontal.

The following questions guide the analysis of the system:

20. **Find the kinetic frictional force.**

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

22. **Determine the direction of the motion of the system.**

23. **Calculate the acceleration of the system.**

24. **Find the tension in the string connecting the two masses.**

**Diagram Explanation:**

The accompanying diagram illustrates the setup:
- Mass M is positioned on the inclined plane.
- Mass m hangs vertically and is connected to mass M via a string passing over a pulley at the top of the incline.
- The angle of the inclined plane (θ) is indicated as 40 degrees.

This problem requires applying principles of Newtonian physics to determine the forces acting on the system, analyze the motion, and solve for unknowns such as frictional forces, acceleration, and tension in the string.
Transcribed Image Text:**Physics Problem on Inclined Plane with Pulley System** In this problem, a two-body system is set up on an inclined surface through a frictionless pulley. This setup involves kinetic friction, with a coefficient of 0.30. The objects in the system are as follows: - The larger mass (M) is 8 kg. - The smaller mass (m) is 3 kg. - The inclined surface makes an angle of 40 degrees with the horizontal. The following questions guide the analysis of the system: 20. **Find the kinetic frictional force.** 21. **Find the parallel force component of the big M along the inclined plane.** 22. **Determine the direction of the motion of the system.** 23. **Calculate the acceleration of the system.** 24. **Find the tension in the string connecting the two masses.** **Diagram Explanation:** The accompanying diagram illustrates the setup: - Mass M is positioned on the inclined plane. - Mass m hangs vertically and is connected to mass M via a string passing over a pulley at the top of the incline. - The angle of the inclined plane (θ) is indicated as 40 degrees. This problem requires applying principles of Newtonian physics to determine the forces acting on the system, analyze the motion, and solve for unknowns such as frictional forces, acceleration, and tension in the string.
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