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m₁ 3 3 m₂ m3

m₁ 3 3 m₂ m3

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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**Problem 4:** In this diagram, \( m_1 = 4 \, \text{kg} \), \( m_2 = 4 \, \text{kg} \), and \( m_3 = 2 \, \text{kg} \). You may ignore the friction on the pulley or any considerations of its mass. a) Draw an Interaction Diagram between all of these objects. b) Draw a Free Body Diagram for each mass (size of vectors matter) along with your choice of coordinate system. c) List any constraints on the motion of the three masses. d) Find the acceleration \(\vec{a}\) of Mass 2. e) Find the Tension in the string between masses 2 and 3. **Diagram Explanation:** The diagram shows a pulley system with three masses connected by strings. Mass \( m_1 \) and mass \( m_3 \) hang vertically on either side of a pulley, while mass \( m_2 \) hangs directly below the pulley, supported by a string attached to the ceiling. The strings connecting the masses are assumed to be inextensible and massless, and the pulley is frictionless.
Transcribed Image Text:**Problem 4:** In this diagram, \( m_1 = 4 \, \text{kg} \), \( m_2 = 4 \, \text{kg} \), and \( m_3 = 2 \, \text{kg} \). You may ignore the friction on the pulley or any considerations of its mass. a) Draw an Interaction Diagram between all of these objects. b) Draw a Free Body Diagram for each mass (size of vectors matter) along with your choice of coordinate system. c) List any constraints on the motion of the three masses. d) Find the acceleration \(\vec{a}\) of Mass 2. e) Find the Tension in the string between masses 2 and 3. **Diagram Explanation:** The diagram shows a pulley system with three masses connected by strings. Mass \( m_1 \) and mass \( m_3 \) hang vertically on either side of a pulley, while mass \( m_2 \) hangs directly below the pulley, supported by a string attached to the ceiling. The strings connecting the masses are assumed to be inextensible and massless, and the pulley is frictionless.
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