4. The system shown in the following figure is in static equilibrium and the angle = 31°. Given that the mass m₁ is 8.70 kg and the coefficient of static friction between mass m₁ and the surface on which it rests is 0.33, what is the maximum mass that m₂ can have for which the system will still remain in equilibrium? kg Ө m₁ m₂

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Statement:**
The system shown in the following figure is in static equilibrium and the angle θ = 31°. Given that the mass \( m_1 \) is 8.70 kg and the coefficient of static friction between mass \( m_1 \) and the surface on which it rests is 0.33, what is the maximum mass that \( m_2 \) can have for which the system will still remain in equilibrium?

**Answer Box:**
\[ \_\_\_\_\_\_\_\_\_ \] kg

**Diagram Explanation:**
The diagram shows an inclined plane with an angle θ of 31° relative to the horizontal ground. A mass \( m_1 \) is placed on the inclined plane. There is a pulley positioned at the top end of the incline, and a rope passes over the pulley. One end of the rope is attached to \( m_1 \), and the other end is connected to a hanging mass \( m_2 \). The coefficient of static friction between \( m_1 \) and the inclined plane is 0.33.

**Key Parameters:**
- Angle of Incline (θ): 31°
- Mass \( m_1 \): 8.70 kg
- Coefficient of Static Friction: 0.33
- Maximum Mass \( m_2 \): ?
Transcribed Image Text:**Problem Statement:** The system shown in the following figure is in static equilibrium and the angle θ = 31°. Given that the mass \( m_1 \) is 8.70 kg and the coefficient of static friction between mass \( m_1 \) and the surface on which it rests is 0.33, what is the maximum mass that \( m_2 \) can have for which the system will still remain in equilibrium? **Answer Box:** \[ \_\_\_\_\_\_\_\_\_ \] kg **Diagram Explanation:** The diagram shows an inclined plane with an angle θ of 31° relative to the horizontal ground. A mass \( m_1 \) is placed on the inclined plane. There is a pulley positioned at the top end of the incline, and a rope passes over the pulley. One end of the rope is attached to \( m_1 \), and the other end is connected to a hanging mass \( m_2 \). The coefficient of static friction between \( m_1 \) and the inclined plane is 0.33. **Key Parameters:** - Angle of Incline (θ): 31° - Mass \( m_1 \): 8.70 kg - Coefficient of Static Friction: 0.33 - Maximum Mass \( m_2 \): ?
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