Thinking of rigid solid and NIFR problems

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Discussion Overview

The discussion revolves around problems related to rigid body mechanics and non-inertial frames of reference, particularly in the context of preparing for a classical mechanics exam. Participants explore potential problems that integrate both themes and share resources for further study.

Discussion Character

  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant seeks problems that involve both rigid body mechanics and non-inertial frames for exam preparation.
  • Another participant clarifies the term "rigid solid" as referring to rigid body mechanics, encompassing both statics and dynamics.
  • A participant outlines a general approach to solving problems in non-inertial frames, which includes defining an inertial frame, establishing transformation relations, writing equations of motion, and transforming variables.
  • References to specific texts are provided, including Landau & Lifshitz and Goldstein, with notes on the Coriolis force being an acceleration term rather than a force.
  • Suggestions for specific problems, such as the Foucault pendulum and dropping a pebble down a mine shaft, are mentioned as potential topics of interest.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus on specific problems or resources, and multiple viewpoints regarding the approach to non-inertial frames and the interpretation of references are present.

Contextual Notes

Participants express varying levels of familiarity with the concepts and resources, and there may be assumptions regarding the definitions of terms like "rigid solid" and "non-inertial frame" that are not explicitly stated.

Glomerular
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In two weeks I have my clasical mechanics exam. This includes rigid solid and non inertial frame of reference chapters.

Do you know any problem that involves both themes? This is how my exam is going to be :nb)

Also, do you have any solved-problems book you could recommend me?

Thanks in advance :)
 
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When you say "rigid solid" are you referring to rigid body mechanics? (such as statics & dynamics?)
 
Yes :DD
 
I think I can safely say that the (almost) universal way to approach problems in non-inertial frames is this:
1. Define an inertial frame;
2. Establish the transformation relations between the inertial frame and the non-inertial frame;
3. Write the equations of motion in the inertial frame;
4. Transform the variables to obtain the description in the non-inertial frame.

Here are some references that may be of interest to you:
1. Landau & Lifshitz, Mechanics, Pergamon, 1960, pp. 127-129, Motion in non-inertial frame of reference
2. Goldstein, Classical Mechanics, Addison-Wesley, 1959, pp. 135-140. The Coriolis Force (This is to be read with care and a grain of salt. Goldstein's results are correct (as I recall), but the coriolis term is an acceleration term, not a force.)

You might want to also look (perhaps on the internet or in a library) for information on the Focault pendulum, and for the problem of dropping a pebble down a vertical mine shaft. I seem to remember that these were both discussed in a text by Constant, but I no longer have the book.
 

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