Introduction to Mechanics by K&K

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Discussion Overview

The discussion revolves around the content and structure of the first chapter of "Introduction to Mechanics" by K&K, particularly focusing on the treatment of kinematics, the introduction of polar coordinates, and the inclusion of problems related to rigid body motion without prior discussion of relevant concepts such as reference frames and simultaneous translation and rotation.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant notes the absence of definitions for key concepts like reference frames and the lack of treatment of rigid body dynamics in chapter one, questioning the appropriateness of the chapter's end problems related to rolling drums.
  • Another participant argues that the problems are suitable for the chapter, suggesting they connect the concepts of movement down a plane with the rotation of a disk without involving torque or momentum.
  • A participant expresses concern about their limited knowledge of rigid body dynamics and questions whether they can tackle the chapter's problems without prior exposure to simultaneous translations and rotations.
  • Another participant asserts that the book does not assume prior mechanics knowledge and claims that it derives concepts from scratch.

Areas of Agreement / Disagreement

Participants express differing views on whether the problems at the end of chapter one are appropriate given the lack of prior discussion on relevant concepts. Some believe the problems are suitable, while others feel that prior knowledge is necessary to solve them effectively.

Contextual Notes

There is uncertainty regarding the assumed background knowledge of readers, particularly in relation to rotational motion and rigid body dynamics, which may affect their ability to engage with the chapter's problems.

Who May Find This Useful

Readers interested in the introductory mechanics concepts, particularly those using "Introduction to Mechanics" by K&K, or those seeking clarification on the treatment of kinematics and rigid body motion in educational texts.

PFuser1232
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In the first chapter of this book, "Vectors and Kinematics - A few mathematical preliminaries", kinematical equations in both polar and cartesian coordinates are introduced (including acceleration in polar coordinates). However, no reference is made to motion with both translation and rotation. In fact, the term reference frame isn't even defined in chapter one (it is first encountered in chapter two).
Although there's been absolutely no treatment of rigid body rotations and translations in chapter one, there are a couple of questions at the end of the chapter based on drums rolling without slipping on inclined planes, finding angular acceleration, and so on. Granted, the questions are trivial (to someone who already has some knowledge of rigid body rotation), but my knowledge of rigid body dynamics and simultaneous translation and rotation is very limited at the moment. Should I defer solving those questions until I start the chapters on torque and angular momentum? Why are those questions included in chapter one?
 
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It would seem they are appropriate for the chapter since this is an established book and that fact that the chapter covered polar coordinates as a review. The specific problem you mention just wants to tie movement down a plane with rotation of the disk. There's no torque or momentum involved.
 
jedishrfu said:
It would seem they are appropriate for the chapter since this is an established book and that fact that the chapter covered polar coordinates as a review. The specific problem you mention just wants to tie movement down a plane with rotation of the disk. There's no torque or momentum involved.

I thought that in chapter one some knowledge of AP Physics is assumed. I have done the UK equivalent of AP Physics, but with absolutely no emphasis on rotational motion. Is it possible to do the questions I have mentioned in my previous post without being exposed to simultaneous translations and rotations beforehand?
 
The book does not assume any mechanics knowledge, it derives everything from scratch (to the best of my memory). I second jedishrfu.
 

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