Solving Fictitious Forces w/ Massless Pulley

AI Thread Summary
To solve the problem of determining the force needed to keep mass m3 stationary in a system with a massless pulley and frictionless surfaces, the acceleration of the system is calculated by dividing the applied force F by the total mass of the three objects. The fictitious force acting on mass m2 due to this acceleration is then equated to the gravitational force on m3 (m3g) to isolate and solve for F. The method used appears to be correct, as the logic aligns with the principles of dynamics and fictitious forces. No significant oversights in the approach were identified. This method effectively addresses the problem at hand.
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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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