5 blocks connected together on an incline

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SUMMARY

The discussion centers on a physics problem involving five connected blocks, each with mass m, where two blocks are positioned on an incline at an angle θ. The key equations used include F = ma and F(grav) = mg sin(θ) for calculating forces on the incline. The user analyzed the system by separating the components of the blocks on the incline from those off it. The conclusion drawn is that while the result for acceleration is correct, there is uncertainty regarding the direction of the tension force (F_t) for blocks 1-3.

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  • Understanding of Newton's laws of motion
  • Knowledge of gravitational force components on an incline
  • Familiarity with basic mechanics involving connected systems
  • Ability to analyze free-body diagrams
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Homework Statement


Five blocks are connected together, each with mass m. Two of the five blocks are on an incline of angle θ. What is the acceleration of the last block that is not on the incline. See attached diagram for further details.


Homework Equations



F = ma
F(grav) = mg sin(θ) (on an incline)

The Attempt at a Solution



Broke the componets down in 2 separate parts of those on incline and those off. Attached diagram with details. Not sure if my solution is correct.
 

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The result is correct, but I think F_t should point in the opposite direction for blocks 1-3.
 

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