O Set up the free-body diagram and the equations for Newton's 2nd law for each object along each axis. Assume friction is present between all surfaces and the coefficient of friction is different between the different surfaces. (Note you should have 2 free body diagrams) MA 51° mB 12 21°

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Chapter1: Units, Trigonometry. And Vectors
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**Problem:**

Set up the free-body diagram and the equations for Newton’s 2nd law for each object along each axis. Assume friction is present between all surfaces and the coefficient of friction is different between the different surfaces. (Note you should have 2 free body diagrams)

**Diagram Explanation:**

The diagram shows two masses, \( m_A \) and \( m_B \), on an inclined plane with different slopes.

- The angle of inclination for \( m_A \) is \( 51^\circ \).
- The angle of inclination for \( m_B \) is \( 21^\circ \).
- An external force, represented by a green arrow, points in the direction along the plane.
- Both masses are connected and friction is present between the surfaces.

**Objective:**

1. Draw two free-body diagrams, one for each mass.
2. Apply Newton's 2nd law (\( F = ma \)) along each axis for both objects.
3. Account for the differences in friction coefficients on the different surfaces.

**Key Considerations:**

- Break down forces into components parallel and perpendicular to the incline.
- Include frictional forces, gravitational forces, normal forces, and tension in the analysis.

**Outcome:**

Develop a set of equations to describe the motion of the system considering all forces acting upon the masses \( m_A \) and \( m_B \).
Transcribed Image Text:**Problem:** Set up the free-body diagram and the equations for Newton’s 2nd law for each object along each axis. Assume friction is present between all surfaces and the coefficient of friction is different between the different surfaces. (Note you should have 2 free body diagrams) **Diagram Explanation:** The diagram shows two masses, \( m_A \) and \( m_B \), on an inclined plane with different slopes. - The angle of inclination for \( m_A \) is \( 51^\circ \). - The angle of inclination for \( m_B \) is \( 21^\circ \). - An external force, represented by a green arrow, points in the direction along the plane. - Both masses are connected and friction is present between the surfaces. **Objective:** 1. Draw two free-body diagrams, one for each mass. 2. Apply Newton's 2nd law (\( F = ma \)) along each axis for both objects. 3. Account for the differences in friction coefficients on the different surfaces. **Key Considerations:** - Break down forces into components parallel and perpendicular to the incline. - Include frictional forces, gravitational forces, normal forces, and tension in the analysis. **Outcome:** Develop a set of equations to describe the motion of the system considering all forces acting upon the masses \( m_A \) and \( m_B \).
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