**Problem 3-100** **Figure:** The figure shows a pulley system with three blocks of mass m, m, and 2m. The strings and pulleys are massless, and there is no friction. --- ### Problem Statement: In Figure 3-27, the strings and pulleys are massless, and there is no friction. Find: (a) The tensions in the strings. (b) The acceleration of the system. ### Diagram Description: - The diagram showcases a system of pulleys and blocks. - A horizontal string passes over two pulleys positioned on opposite sides. - There are three blocks connected by strings: - The first block, with mass \( m \), hangs on the left side. - The second block, with mass \( m \), is suspended in the middle, attached to two strings. - The third block, with mass \( 2m \), hangs on the right side. *Figure 3-27 - Problems 3-100 and 3-101* --- This problem is designed to help students understand the application of Newton's laws of motion in a pulley system, emphasizing concepts such as tension and acceleration. Students should use free body diagrams and Newton's second law to solve for the unknowns.

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**Problem 3-100**

**Figure:** The figure shows a pulley system with three blocks of mass m, m, and 2m. The strings and pulleys are massless, and there is no friction.

---

### Problem Statement:
In Figure 3-27, the strings and pulleys are massless, and there is no friction. Find:
(a) The tensions in the strings.
(b) The acceleration of the system.

### Diagram Description:
- The diagram showcases a system of pulleys and blocks.
- A horizontal string passes over two pulleys positioned on opposite sides.
- There are three blocks connected by strings:
  - The first block, with mass \( m \), hangs on the left side.
  - The second block, with mass \( m \), is suspended in the middle, attached to two strings.
  - The third block, with mass \( 2m \), hangs on the right side.
  
*Figure 3-27 - Problems 3-100 and 3-101*

---

This problem is designed to help students understand the application of Newton's laws of motion in a pulley system, emphasizing concepts such as tension and acceleration. Students should use free body diagrams and Newton's second law to solve for the unknowns.
Transcribed Image Text:**Problem 3-100** **Figure:** The figure shows a pulley system with three blocks of mass m, m, and 2m. The strings and pulleys are massless, and there is no friction. --- ### Problem Statement: In Figure 3-27, the strings and pulleys are massless, and there is no friction. Find: (a) The tensions in the strings. (b) The acceleration of the system. ### Diagram Description: - The diagram showcases a system of pulleys and blocks. - A horizontal string passes over two pulleys positioned on opposite sides. - There are three blocks connected by strings: - The first block, with mass \( m \), hangs on the left side. - The second block, with mass \( m \), is suspended in the middle, attached to two strings. - The third block, with mass \( 2m \), hangs on the right side. *Figure 3-27 - Problems 3-100 and 3-101* --- This problem is designed to help students understand the application of Newton's laws of motion in a pulley system, emphasizing concepts such as tension and acceleration. Students should use free body diagrams and Newton's second law to solve for the unknowns.
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