The coefficient of static friction between the block of mass mA and the horizontal surface is 0.40, whereas the coefficient of kinetic friction is 0.30. What is the minimum value of mA that keeps the system from falling? Hint: The tension force, call it FT, must be the same at both the string ends, and directed away from the blocks: Towards the right the tension applied to mA and upward the tension force applied to mB

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Refer to the figure below. The coefficient of static friction between the block of mass mA and the horizontal surface is 0.40, whereas the coefficient of kinetic friction is 0.30. What is the minimum value of mA that keeps the system from falling? Hint: The tension force, call it FT, must be the same at both the string ends, and directed away from the blocks: Towards the right the tension applied to mA and upward the tension force applied to mB

The image depicts a physics problem involving two masses connected by a pulley system. 

- **Objects:**
  - Mass \( m_A \) is placed on a frictionless inclined plane.
  - Mass \( m_B \) is hanging vertically.

- **Pulley System:**
  - A string connects the two masses and passes over a frictionless pulley.

- **Values:**
  - The mass \( m_B \) is specified as 2.0 kg.

**Diagram Explanation:**

The system describes a typical pulley setup used to analyze forces and motion in physics. Mass \( m_A \) is on an incline, and its exact mass is unspecified in the diagram. The string is assumed to be massless and inextensible. The pulley is frictionless, allowing the string to move freely without any energy loss.

This setup can be used to explore concepts such as Newton’s second law, gravitational force, tension in the string, and acceleration of the system. Typically, such problems ask for the acceleration of the masses or the tension in the string connecting them, considering the gravitational pull on mass \( m_B \).
Transcribed Image Text:The image depicts a physics problem involving two masses connected by a pulley system. - **Objects:** - Mass \( m_A \) is placed on a frictionless inclined plane. - Mass \( m_B \) is hanging vertically. - **Pulley System:** - A string connects the two masses and passes over a frictionless pulley. - **Values:** - The mass \( m_B \) is specified as 2.0 kg. **Diagram Explanation:** The system describes a typical pulley setup used to analyze forces and motion in physics. Mass \( m_A \) is on an incline, and its exact mass is unspecified in the diagram. The string is assumed to be massless and inextensible. The pulley is frictionless, allowing the string to move freely without any energy loss. This setup can be used to explore concepts such as Newton’s second law, gravitational force, tension in the string, and acceleration of the system. Typically, such problems ask for the acceleration of the masses or the tension in the string connecting them, considering the gravitational pull on mass \( m_B \).
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