Two blocks are tied together with a massless string that does not stretch and connected via a frictionless and massless pulley. Mass one, m1, sits stationary on table top and has a mass of m1 = 5.7 kg. Mass 2, m2, hangs suspended in the air and has a mass m2 = 2.2 kg. Denote the tension in the string as T, and the force of static friction as Fs. Determine the coefficient of friction between m1 and the table.  Determine the tension in the rope in newtons.

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Chapter1: Units, Trigonometry. And Vectors
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  Two blocks are tied together with a massless string that does not stretch and connected via a frictionless and massless pulley. Mass one, m1, sits stationary on table top and has a mass of m1 = 5.7 kg. Mass 2, m2, hangs suspended in the air and has a mass m2 = 2.2 kg. Denote the tension in the string as T, and the force of static friction as Fs.

Determine the coefficient of friction between m1 and the table. 

Determine the tension in the rope in newtons. 

### Explanation of the System: 

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

- **Masses**: 
  - \( m_1 \) (green block) is positioned on a table.
  - \( m_2 \) (red block) is hanging vertically off the table. 

- **Pulley**: 
  - The rope passes over a pulley. The pulley is fixed in place, allowing the rope to move smoothly over it.

- **Forces and Motion**:
  - The system is set up to show the dynamics of two blocks under the influence of gravity.
  - The green block (\( m_1 \)) can move horizontally across the table.
  - The red block (\( m_2 \)) will move vertically.

- **Coordinate System**:
  - An \( x, y \) coordinate system is displayed in the top right corner.
  - The \( x \)-axis is horizontal, aligning with the table.
  - The \( y \)-axis is vertical, parallel to the movement of \( m_2 \).

This system is commonly used in physics to demonstrate concepts of tension, acceleration, and friction (if applicable) in mechanics. The blocks' interaction through the pulley will result in acceleration, governed by Newton's laws of motion.
Transcribed Image Text:### Explanation of the System: The image depicts a classical physics problem involving two masses connected by a rope over a pulley system. - **Masses**: - \( m_1 \) (green block) is positioned on a table. - \( m_2 \) (red block) is hanging vertically off the table. - **Pulley**: - The rope passes over a pulley. The pulley is fixed in place, allowing the rope to move smoothly over it. - **Forces and Motion**: - The system is set up to show the dynamics of two blocks under the influence of gravity. - The green block (\( m_1 \)) can move horizontally across the table. - The red block (\( m_2 \)) will move vertically. - **Coordinate System**: - An \( x, y \) coordinate system is displayed in the top right corner. - The \( x \)-axis is horizontal, aligning with the table. - The \( y \)-axis is vertical, parallel to the movement of \( m_2 \). This system is commonly used in physics to demonstrate concepts of tension, acceleration, and friction (if applicable) in mechanics. The blocks' interaction through the pulley will result in acceleration, governed by Newton's laws of motion.
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