What's the Trick to Solving Incline Plane Problems?

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SUMMARY

The discussion centers on solving incline plane problems using a simplified approach that assumes acceleration directed right and downward. Participants highlight the effectiveness of using net forces to derive equations without relying on free body diagrams. The conversation emphasizes that understanding tension as an internal force allows for a more straightforward analysis of the system. The consensus is that this method can yield correct answers while minimizing complex calculations.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with basic physics concepts such as acceleration and net force
  • Knowledge of tension as an internal force in systems
  • Ability to interpret and analyze forces acting on an object
NEXT STEPS
  • Study the principles of Newton's laws of motion in detail
  • Learn how to construct and analyze free body diagrams
  • Explore the concept of tension in various physical systems
  • Practice solving incline plane problems using different methods
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone looking to improve their problem-solving skills in incline plane scenarios.

Optikspik
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Poster has been reminded to use the Homework Help Template in future schoolwork threads
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How i solve this problem would be, i assume acceleration to go right and downwards. WHich would give me the equation. The forces promotes the acceleration - the forces which opposes the acceleration = F_net

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However, U could solve this with free body diagrams, and Tension. How come I can just do like this and get the right answer? LIke how do i "motivate" on the test, without doing free body diagram and equation systems! Has it something to do with TEnsion = internal force and we look at the forces on the whole system external? Or how would u write on a test, just to motivate that u don't just guess the numbers!?

2. Do i get the correct answer? :p
 
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That is correct, and I don't think it needs further motivation.
You have the implicit assumption that both accelerations are the same in magnitude, but that is easy to see.
 

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