Tension in an Accelerated System

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SUMMARY

The discussion centers on the dynamics of tension in a system with multiple masses connected by a rope. The key conclusion is that the tension forces (FT1, FT2, FT3) are not equal due to the differing requirements for acceleration of each mass. Specifically, FT3 only needs to accelerate the third mass, while FT2 must accelerate both the second and third masses, leading to varying tension values. This analysis highlights the importance of understanding how mass distribution affects tension in a system.

PREREQUISITES
  • Newton's Second Law of Motion
  • Basic principles of tension in physics
  • Understanding of mass and acceleration relationships
  • Concept of connected systems in mechanics
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  • Study the effects of mass distribution on tension in multi-mass systems
  • Learn about free-body diagrams for analyzing forces
  • Explore advanced topics in dynamics, such as pulleys and friction
  • Investigate real-world applications of tension in engineering systems
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Students of physics, educators teaching mechanics, and engineers working on systems involving tension and acceleration.

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Homework Statement



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The Attempt at a Solution



"Any objects attached to the rope will have the same magnitude of acceleration as the rope." So since no mass is given, I assumed all the masses are the same. So wouldn't A be the answer?
 
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The tension FT3 only has to accelerate the third mass upwards. FT2 has to accelerate both the second and third mass. FT1 has to... you get the picture. So the tensions are not equal.
 

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