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? M m

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### Inclined Plane with Frictionless Pulley System

A two-body system is set up on an inclined plane, incorporating a frictionless pulley. This setup includes:

- **Kinetic Friction Coefficient**: 0.30
- **Mass of Big Block (M)**: 8 kg
- **Mass of Small Block (m)**: 3 kg
- **Inclination Angle**: 40 degrees

#### Questions:

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

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

**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 shows a block (mass M) on an inclined plane connected via a string over a pulley to a hanging block (mass m). The inclined plane makes an angle θ = 40° with the horizontal.

- The block M is on the incline.
- The block m is hanging vertically.

In this scenario, analyze the forces along the incline and calculate the required dynamics like frictional force, parallel force components, direction of motion, acceleration, and tension in the string.
Transcribed Image Text:### Inclined Plane with Frictionless Pulley System A two-body system is set up on an inclined plane, incorporating a frictionless pulley. This setup includes: - **Kinetic Friction Coefficient**: 0.30 - **Mass of Big Block (M)**: 8 kg - **Mass of Small Block (m)**: 3 kg - **Inclination Angle**: 40 degrees #### Questions: **20. Find the kinetic frictional force.** **21. Find the parallel force component of the big M along the incline.** **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 shows a block (mass M) on an inclined plane connected via a string over a pulley to a hanging block (mass m). The inclined plane makes an angle θ = 40° with the horizontal. - The block M is on the incline. - The block m is hanging vertically. In this scenario, analyze the forces along the incline and calculate the required dynamics like frictional force, parallel force components, direction of motion, acceleration, and tension in the string.
Expert Solution
Step 1

(22)

Given data :

Mass of block M, M = 8kg

Mass of block m, m = 3kg

From the given masses, it is clear that M>m

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