2.0 kg T2 3.0 kg m3 10.0 kg m.

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Chapter1: Units, Trigonometry. And Vectors
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In the figure, the coefficient of kinetic friction between the two blocks shown is 0.30.
The surface of the table and the pulleys are frictionless.

a. Draw a free-body diagram for each block.

b. Determine the acceleration of each block.

c. Find the tension in the strings.

(Hint: One of these three objects has SIX forces acting on it! Don’t forget about action-reaction!)

 
The image depicts a mechanical system involving masses and pulleys, commonly used to illustrate concepts of tension and dynamics in physics.

**Diagram Breakdown:**

- **Masses:**
  - There are three masses in the system.
    - Two masses, labeled \( m_2 \) and \( m_3 \), are placed on a horizontal platform.
      - Mass \( m_2 \) is labeled as 2.0 kg.
      - Mass \( m_3 \) is labeled as 3.0 kg.
    - A third mass, labeled \( m_{10} \), hangs vertically and is labeled as 10.0 kg.

- **Pulleys and Tensions:**
  - The system includes two pulleys.
    - The first pulley affects \( m_2 \) and is associated with tension \( T_1 \).
    - The second pulley is connected to \( m_{10} \) and relates to tension \( T_2 \).
  - Both pulleys are fixed to the structure and guide the cords that are attached to the masses.

- **Setup:**
  - The setup is shown in a rigid frame, suggesting that the horizontal platform and the supporting structure are immovable.
  - Mass \( m_{10} \) is suspended and free to move vertically, influenced by gravitational force and tension in the cord.

This diagram can be used to explore the relationships between mass, acceleration, and force in a mechanical system. It serves to demonstrate principles such as Newton’s Second Law and the effects of tension on connected bodies.
Transcribed Image Text:The image depicts a mechanical system involving masses and pulleys, commonly used to illustrate concepts of tension and dynamics in physics. **Diagram Breakdown:** - **Masses:** - There are three masses in the system. - Two masses, labeled \( m_2 \) and \( m_3 \), are placed on a horizontal platform. - Mass \( m_2 \) is labeled as 2.0 kg. - Mass \( m_3 \) is labeled as 3.0 kg. - A third mass, labeled \( m_{10} \), hangs vertically and is labeled as 10.0 kg. - **Pulleys and Tensions:** - The system includes two pulleys. - The first pulley affects \( m_2 \) and is associated with tension \( T_1 \). - The second pulley is connected to \( m_{10} \) and relates to tension \( T_2 \). - Both pulleys are fixed to the structure and guide the cords that are attached to the masses. - **Setup:** - The setup is shown in a rigid frame, suggesting that the horizontal platform and the supporting structure are immovable. - Mass \( m_{10} \) is suspended and free to move vertically, influenced by gravitational force and tension in the cord. This diagram can be used to explore the relationships between mass, acceleration, and force in a mechanical system. It serves to demonstrate principles such as Newton’s Second Law and the effects of tension on connected bodies.
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