Block B in (Figure 1) rests on a surface for which the static and kinetic coefficients of friction are 0.75 and 0.40, respectively. The ropes are massless. Part A What is the maximum mass of block A for which the system remains in static equilibrium? Express your answer with the appropriate units. ► View Available Hint(s) MA = Submit μA Value Request Answer Units ?

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### Diagram Explanation

In the figure, we have a system involving two blocks, labeled A and B, connected by a rope over a pulley.

- **Block B:** 
  - Mass: 20 kg
  - Positioned on a horizontal surface.

- **Block A:**
  - Mass not specified in the image.
  - Hangs vertically, suspended by the rope.

- **Rope and Pulley System:**
  - The rope runs over a pulley, changing direction by 90 degrees.
  - The section of the rope attached to Block B is horizontal, while the section attached to Block A is vertical.
  - The pulley redirects the rope at a 45° angle from the horizontal plane to attach to Block A.

### Understanding the Forces

- **Forces on Block B:**
  - The weight of Block B acts downward, while the tension in the rope acts horizontally.
  
- **Forces on Block A:**
  - The weight of Block A acts downward, and the tension in the rope acts upward at a 45° angle to the vertical.

This setup could be used to study static equilibrium, mechanical advantage, or the effects of friction and various forces within the system.
Transcribed Image Text:### Diagram Explanation In the figure, we have a system involving two blocks, labeled A and B, connected by a rope over a pulley. - **Block B:** - Mass: 20 kg - Positioned on a horizontal surface. - **Block A:** - Mass not specified in the image. - Hangs vertically, suspended by the rope. - **Rope and Pulley System:** - The rope runs over a pulley, changing direction by 90 degrees. - The section of the rope attached to Block B is horizontal, while the section attached to Block A is vertical. - The pulley redirects the rope at a 45° angle from the horizontal plane to attach to Block A. ### Understanding the Forces - **Forces on Block B:** - The weight of Block B acts downward, while the tension in the rope acts horizontally. - **Forces on Block A:** - The weight of Block A acts downward, and the tension in the rope acts upward at a 45° angle to the vertical. This setup could be used to study static equilibrium, mechanical advantage, or the effects of friction and various forces within the system.
### Problem Statement

Block B in **Figure 1** rests on a surface for which the static and kinetic coefficients of friction are 0.75 and 0.40, respectively. The ropes are massless. 

### Question - Part A

**Objective:**
Determine the maximum mass of block A for which the system remains in static equilibrium.

**Instructions:**
Express your answer with the appropriate units.

**Input Box:**
- \( m_A = \) [Value] [Units]

- Submit Button
- Request Answer Link

**Additional Information:**
- You can view available hint(s) by expanding the "View Available Hint(s)" section. 

### Explanation

The question involves evaluating the conditions for static equilibrium of a system consisting of block A and block B, with block B resting on a frictional surface. You are tasked with ensuring that the forces involved do not exceed the limits set by the static friction coefficient to determine the maximum allowable mass of block A while still maintaining equilibrium. 

Use the coefficients of static and kinetic friction provided to inform your calculations.
Transcribed Image Text:### Problem Statement Block B in **Figure 1** rests on a surface for which the static and kinetic coefficients of friction are 0.75 and 0.40, respectively. The ropes are massless. ### Question - Part A **Objective:** Determine the maximum mass of block A for which the system remains in static equilibrium. **Instructions:** Express your answer with the appropriate units. **Input Box:** - \( m_A = \) [Value] [Units] - Submit Button - Request Answer Link **Additional Information:** - You can view available hint(s) by expanding the "View Available Hint(s)" section. ### Explanation The question involves evaluating the conditions for static equilibrium of a system consisting of block A and block B, with block B resting on a frictional surface. You are tasked with ensuring that the forces involved do not exceed the limits set by the static friction coefficient to determine the maximum allowable mass of block A while still maintaining equilibrium. Use the coefficients of static and kinetic friction provided to inform your calculations.
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