Solve Quick Force Problem: Calculate Tensions in Ropes, w & θ

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SUMMARY

The discussion focuses on calculating the tensions in ropes connecting two blocks on a frictionless incline, each with weight w and angle θ. The tension between the blocks is determined to be Tbetween = w*sin θ. The tension in the rope connected to the wall is calculated as Twall = 2w*sin θ, accounting for the forces exerted by both blocks. The calculations are confirmed as correct by other participants in the forum.

PREREQUISITES
  • Understanding of basic physics concepts, specifically forces and tension.
  • Knowledge of trigonometric functions, particularly sine.
  • Familiarity with frictionless incline scenarios in physics.
  • Ability to apply Newton's laws of motion to static systems.
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  • Review the principles of static equilibrium in physics.
  • Learn about tension forces in multi-body systems.
  • Study the application of trigonometry in physics problems.
  • Explore advanced problems involving inclined planes and multiple forces.
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the mechanics of forces and tensions in static systems on inclined planes.

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Homework Statement


Two blocks, each with weight w, are held in place on a frictionless incline. Block A is connected to a wall with a rope and block B is connected with another rope to block A. Calculate the tension in both ropes in terms of w and θ. So, the rope connecting each other and also the one against the wall.


Homework Equations





The Attempt at a Solution



For the tension between the blocks I got Tbetween = w*sin θ.

But then for the tension of the rope connected to the wall. It would be have to be double because it's taking on the pull from block B and pull from block A. So the tension from the wall would be Twall = 2w*sin θ. Am I doing this correctly? Thanks.
 
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Yes, you are correct. :smile:
 

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