Tension in a rope on frictionless pulley

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SUMMARY

The discussion revolves around calculating the tension in a rope connected to a 4kg object on a table and an 8kg weight hanging off a frictionless pulley. Key equations utilized include Newton's second law (F=ma) and the frictional force equation (F of friction = coefficient of friction × Force normal). The participants emphasize applying these equations separately to each mass and combining the results to solve for the unknown tension. The final approach involves setting up two equations based on the forces acting on each mass and solving for tension.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Knowledge of frictional forces and coefficients
  • Ability to set up and solve simultaneous equations
  • Familiarity with basic mechanics involving pulleys
NEXT STEPS
  • Learn how to derive equations of motion for systems involving pulleys
  • Study the concept of tension in strings and ropes in physics
  • Explore examples of frictionless pulley problems in mechanics
  • Practice solving simultaneous equations in physics contexts
USEFUL FOR

Students preparing for physics exams, particularly those focusing on mechanics, as well as educators seeking to clarify concepts related to tension and friction in pulley systems.

  • #31
get it? if you wanted the acceleration instead of the tension, you would just solve for T in one equation, and substitute that for T in the other equation... that will give you all you need to find the acceleration
 
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  • #32
Thanks, very much appreciated guys. It makes near complete sense now!

Wish me luck on my exam, and now that I know about you guys, I imagine I'll be seeing you in the new year! ;)
 
  • #33
gl =)
 

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