Analyzing Rotational Work and Energy Using Newton's Laws

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Homework Help Overview

The discussion revolves around analyzing a system involving a solid sphere and a suspended weight, focusing on the application of Newton's Laws to determine tension in the cord and the acceleration of the mass. The problem is situated within the context of rotational dynamics and forces acting on both the sphere and the hanging mass.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore the equations of motion for both the sphere and the hanging mass, including the sum of forces in both x and y directions. There are attempts to relate torque and moment of inertia to the problem, as well as discussions about the role of friction.

Discussion Status

Several participants have provided insights and guidance on the equations needed to analyze the problem, including the need for torque equations and the relationship between linear and angular acceleration. There is ongoing exploration of the assumptions regarding friction and the implications of a massless, frictionless pulley.

Contextual Notes

Participants express uncertainty regarding the kinetic friction coefficient and its role in the equations, as well as the treatment of the pulley in the analysis. There are mentions of different moments of inertia for various shapes involved in similar problems, indicating a need for clarity on how these factors influence the overall system.

  • #31
gneil does this work for problems with inclines as well?? I have posted a question with an incline, if this trick works for that too that is very handy!
 
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  • #32
Torater said:
gneil does this work for problems with inclines as well?? I have posted a question with an incline, if this trick works for that too that is very handy!

It should work fine. Give it a go!
 
  • #33
Ok take a look at my problem that has incline in the heading Ill go try it right now with this trick!
 
  • #34
Please remember that the question (particularly if it says "use Newton's laws") may not allow you to use this short-cut … so check with your professor. :smile:

However, even if you're not allowed, it's a very quick way of checking your answer (and very useful if your arithmetic sometimes goes wrong! :wink:)
 
  • #35
ya i'll have to do it the other way because it specifies using Newtons laws but I can confirm I didn't mess up my algebra by this handy method!
 

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