Solving the Tension in Three Object Pulley System

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SUMMARY

The discussion focuses on calculating the tension in a three-object pulley system involving masses m1 (6 kg), m2 (2 kg), and m3 (3 kg). The key equation used is F=ma, which relates force, mass, and acceleration. Participants emphasize that the acceleration of each block must be uniform across the system. The correct relationship between the accelerations was identified as crucial for solving the problem, leading to the determination of the tension in the string.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Knowledge of pulley systems and their mechanics
  • Ability to set up equations for multiple masses in motion
  • Familiarity with acceleration relationships in connected systems
NEXT STEPS
  • Study the dynamics of pulley systems with multiple masses
  • Learn how to derive acceleration relationships in interconnected objects
  • Explore tension calculations in various pulley configurations
  • Practice solving problems involving multiple forces and accelerations
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Students in physics, particularly those studying mechanics, as well as educators looking for examples of tension calculations in pulley systems.

bluejay1
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Homework Statement



Three objects m1. m2 and m3 are suspended from three massless and frictionless pulleys as
shown in the diagram. m1 is 6 kg, m2 is 2 kg and m3 is 3 kg. Find the tension of the string
when the system is set in motion (i.e. all masses are moving). Answer in N.

Homework Equations


F=ma


The Attempt at a Solution


I've got all the f=ma equations set up, but cannot figure out how to relate the accelerations to one another. I tried a1=a3=-2(a2) but that did not give me the correct answer. hopefully someone can help me with this.

thanks
 

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I can't see yet the picture but take note that the acceleration of each block must be the same.
 
Net downward forces due to 3 kg and 6 kg must be equal to net upward force on 2 kg.
Now try to find the tension.
 

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