2 Coupled Blocks T2 m2 mi m3 Two blocks of mass m, = 2 kg and m, = 2 kg on a horizontal surface, connected by a string, are being pulled by another %3D

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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## Coupled Blocks

Two blocks of mass \( m_1 = 2 \, \text{kg} \) and \( m_2 = 2 \, \text{kg} \) on a horizontal surface, connected by a string, are being pulled by another string which is attached to a mass \( m_3 = 1 \, \text{kg} \) hanging over a pulley. Neglect friction and the masses of the pulleys and strings.

**Tasks:**

(a) Sketch a free-body diagram for **each mass** (three total), showing all of the forces acting on each block.

(b) Calculate the acceleration of each mass and the tension in each string.

**Diagram Explanation:**

The diagram depicts two blocks, \( m_1 \) and \( m_2 \), on a flat horizontal surface connected by a string. A string is pulling these blocks over a pulley, with the mass \( m_3 \) hanging vertically. Tension in the strings is denoted as \( T_1 \) between blocks \( m_1 \) and \( m_2 \), and \( T_2 \) between block \( m_2 \) and the hanging mass \( m_3 \).
Transcribed Image Text:## Coupled Blocks Two blocks of mass \( m_1 = 2 \, \text{kg} \) and \( m_2 = 2 \, \text{kg} \) on a horizontal surface, connected by a string, are being pulled by another string which is attached to a mass \( m_3 = 1 \, \text{kg} \) hanging over a pulley. Neglect friction and the masses of the pulleys and strings. **Tasks:** (a) Sketch a free-body diagram for **each mass** (three total), showing all of the forces acting on each block. (b) Calculate the acceleration of each mass and the tension in each string. **Diagram Explanation:** The diagram depicts two blocks, \( m_1 \) and \( m_2 \), on a flat horizontal surface connected by a string. A string is pulling these blocks over a pulley, with the mass \( m_3 \) hanging vertically. Tension in the strings is denoted as \( T_1 \) between blocks \( m_1 \) and \( m_2 \), and \( T_2 \) between block \( m_2 \) and the hanging mass \( m_3 \).
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