Application of Theory in Inclined Planes

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SUMMARY

The discussion focuses on the application of forces on inclined planes, specifically analyzing the net force equations for multiple masses experiencing different gravitational forces. Participants explore the validity of using a consistent coordinate system for calculating net forces, represented as Fnet = T - Fg1, Fg2, and Fg3 for three different masses. Additionally, the conversation delves into the implications of a rotated coordinate system for an object transitioning between two inclined planes, questioning the signs of the gravitational components (Fgx) based on the orientation of the coordinate system.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with inclined plane physics
  • Knowledge of coordinate systems in physics
  • Basic grasp of vector resolution of forces
NEXT STEPS
  • Study the principles of Newton's second law in detail
  • Learn about vector decomposition in inclined planes
  • Explore the effects of different gravitational forces on multiple masses
  • Investigate coordinate transformations in physics
USEFUL FOR

Students of physics, educators teaching mechanics, and anyone interested in the dynamics of objects on inclined planes.

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Say I have to consider a situation like this:

Ve8Ag.png


Say there are tensions (all the same) on each one and forces of gravity (different) on each one. Would the coordinate system there apply to each one in reference to their forces?

In other words for the first mass, would Fnet = T - Fg1? For the second, Fnet = T - Fg2? For the third, Fnet = T - Fg3? I tried this and I did not get the right answer

Say I have to consider another situation - two inclined planes and an objected from from the first to the second:

YYsbz.png


Would the rotated coordinate system there apply to each force on an object that moves on these planes? In other words, would the Fgx on the left be + and the Fgx on the right be - according to that system?
 
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Any ideas?
 
Just wondering if anyone's gonna' answer this =[
 

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