Two packing crates of masses m1 = 10.0 kg and m2 = 6.00 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 6.00 kg crate lies on a smooth incline of angle 39.0°. Find the acceleration of the 6.00 kg crate.  m/s2 (up the incline) Find the tension in the string.  N

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Two packing crates of masses m1 = 10.0 kg and m2 = 6.00 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 6.00 kg crate lies on a smooth incline of angle 39.0°. Find the acceleration of the 6.00 kg crate.
 m/s2 (up the incline)
Find the tension in the string.
 N

The image depicts a physics problem involving a pulley system with two masses and an inclined plane. 

### Description:

- **Pulley System**: At the top left, there is a pulley over which a rope is looped.
- **Mass \( m_1 \)**: Hanging vertically from the pulley on one side, denoted as \( m_1 \).
- **Mass \( m_2 \)**: Positioned on an inclined plane, marked as \( m_2 \).
- **Inclined Plane**: The plane is slanted at an angle \( \theta \) with the horizontal.

### Explanation:

This setup is often used to analyze forces, tension in the rope, and acceleration in systems in classical mechanics. The inclined plane introduces a component of gravitational force acting along the plane, which can be calculated using trigonometric functions. The problem may involve finding the acceleration of the masses or the tension in the rope, requiring the application of Newton's laws of motion.
Transcribed Image Text:The image depicts a physics problem involving a pulley system with two masses and an inclined plane. ### Description: - **Pulley System**: At the top left, there is a pulley over which a rope is looped. - **Mass \( m_1 \)**: Hanging vertically from the pulley on one side, denoted as \( m_1 \). - **Mass \( m_2 \)**: Positioned on an inclined plane, marked as \( m_2 \). - **Inclined Plane**: The plane is slanted at an angle \( \theta \) with the horizontal. ### Explanation: This setup is often used to analyze forces, tension in the rope, and acceleration in systems in classical mechanics. The inclined plane introduces a component of gravitational force acting along the plane, which can be calculated using trigonometric functions. The problem may involve finding the acceleration of the masses or the tension in the rope, requiring the application of Newton's laws of motion.
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