Solving Fictitious Forces w/ Massless Pulley

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SUMMARY

The discussion focuses on solving a physics problem involving a massless pulley and three masses, specifically determining the force, F, required to keep mass m3 stationary. The user correctly applies Newton's second law (F=ma) to find the system's acceleration and identifies the fictitious force acting on mass m2 due to this acceleration. By equating the fictitious force to the gravitational force on m3 (m3g) and isolating F, the user demonstrates a solid understanding of the principles involved in the problem.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with fictitious forces in non-inertial reference frames
  • Basic knowledge of mass and acceleration relationships
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the implications of massless pulleys in classical mechanics
  • Learn about non-inertial reference frames and their effects on forces
  • Explore advanced applications of Newton's laws in multi-body systems
  • Investigate the role of frictionless surfaces in mechanical systems
USEFUL FOR

Students of physics, particularly those studying classical mechanics, educators teaching force dynamics, and anyone interested in understanding the behavior of systems involving pulleys and fictitious forces.

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Homework Statement



All surfaces are frictionless, pulley is massless. What force, F is needed so that m3 does not rise or fall?

Picture attached


Homework Equations



F=ma

The Attempt at a Solution



Found acceleration of system by dividing F by all three masses.

Found Fictitious force felt by m2 as a result of the acceleration.

Equated this fictitious force with m3g, isolated F.

Just wanted to know if this is the right method towards solving this problem, or am I missing something obvious/big?
 

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Though you haven't posted any equations, your logic is alright.
 

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