Acceleration of the system and the tension T in the string

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SUMMARY

The discussion focuses on calculating the acceleration of a two-mass system connected by a light string on a frictionless surface, subjected to an external force F. The correct formula for acceleration is established as a = F / (m1 + m2). For tension T in the string, the derived equation is T = (F * m1) / (m1 + m2), which accounts for the force acting on mass m1. The participants confirm the validity of these equations through collaborative reasoning.

PREREQUISITES
  • Understanding Newton's Second Law (F = ma)
  • Knowledge of basic mechanics involving connected masses
  • Familiarity with tension in strings and forces in equilibrium
  • Concept of frictionless surfaces in physics
NEXT STEPS
  • Study the implications of frictionless surfaces on force calculations
  • Explore advanced topics in dynamics involving multiple connected bodies
  • Learn about tension in different configurations of mass systems
  • Investigate real-world applications of Newton's laws in engineering
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Students of physics, educators teaching mechanics, and anyone interested in understanding the dynamics of connected mass systems.

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Homework Statement


Two masses m1 and m2 situated on a frictionless, horizontal surface are connected by a light string. A force F is exerted on one of the masses to the right. Determine the acceleration of the system and the tension T in the string.


Homework Equations


F=ma


The Attempt at a Solution


I got a=F/(m1+m2). I think that is right. For the tension part, I got a little bit stuck. I finally got T=m1a because it is just moving m1. So T=Fm1/(m1+m2). Is this right? I don't think it is.
 
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I think that's right
 


I sounds correct to me, too. I am assuming that m2 is experiencing the force, and m1 is following m2.
 

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