T2 m2 mi m3 Two blocks of mass m¡ = 2 kg and m2 = 2 kg on a horizontal surface, connected by a string, are being pulled by another string which is attached to a mass m3 = 1 kg hanging over a pulley. Neglect friction and the masses of the pulleys and strings. (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.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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**Physics Problem: Pulley System**

**Diagram Explanation:**
The diagram shows a pulley system with three masses. 

- Mass \( m_1 = 2 \, \text{kg} \) and mass \( m_2 = 2 \, \text{kg} \) are on a horizontal surface and are connected by a string.
- These blocks are being pulled by a string attached to mass \( m_3 = 1 \, \text{kg} \) hanging over a pulley.
- Tensions are marked as \( T_1 \) and \( T_2 \) in the strings connecting the masses.
- The system is frictionless, and the masses of the pulleys and strings are negligible.

**Problem Statement:**

(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.
Transcribed Image Text:**Physics Problem: Pulley System** **Diagram Explanation:** The diagram shows a pulley system with three masses. - Mass \( m_1 = 2 \, \text{kg} \) and mass \( m_2 = 2 \, \text{kg} \) are on a horizontal surface and are connected by a string. - These blocks are being pulled by a string attached to mass \( m_3 = 1 \, \text{kg} \) hanging over a pulley. - Tensions are marked as \( T_1 \) and \( T_2 \) in the strings connecting the masses. - The system is frictionless, and the masses of the pulleys and strings are negligible. **Problem Statement:** (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.
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