book:chap2:forcestorques
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- | ====== 2. Balancing | + | ====== 2. Balancing |
- | The PDF file of the chapter is available | + | In [[book:chap1:basics|Chapter 1]] we observed that positions and velocities of particles |
+ | are specified by indicating their unit, magnitude and directions. | ||
+ | Hence, they are vectors. | ||
+ | In the present chapter we learn how vectors are defined in mathematics, | ||
+ | and how they are used and handled in physics. | ||
+ | In order to provide a formal definition we introduce a number of mathematical concepts, like groups, | ||
+ | that will be revisited in forthcoming chapters. | ||
+ | As first important application we deal with balancing forces and torques. | ||
- | I am curious to see your questions, remarks and suggestions: | + | <WRAP 400px center> |
+ | {{ book: | ||
+ | <wrap lo> Mobile (sculpture) in the style of [[https:// | ||
+ | </ | ||
+ | </ | ||
- | ~~DISCUSSION~~ | + | At the end of this chapter we will be able to determine how a mobile hangs from the ceiling.\\ |
+ | |||
+ | ----- | ||
+ | |||
+ | * [[ 2.1 Motivation and Outline| 2.1 Motivation and outline: forces are vectors ]] | ||
+ | * [[ 2.2 Sets| 2.2 Sets ]] | ||
+ | * [[ 2.3 Groups| 2.3 Groups ]] | ||
+ | * [[ 2.4 Fields| 2.4 Fields ]] | ||
+ | * [[ 2.5 Vector spaces| 2.5 Vector spaces ]] | ||
+ | * [[ 2.6 Physics application balancing forces| 2.6. Physics application: | ||
+ | * [[ 2.7 The inner product | 2.7 The inner product]] | ||
+ | * [[ 2.8 Cartesian coordinates | 2.8 Cartesian coordinates]] | ||
+ | * [[ 2.9 Cross products --- torques| 2.9 Cross products — torques ]] | ||
+ | * [[ 2.10 Worked example Calder' | ||
+ | * [[ 2.11 Problems| 2.11 Problems ]] | ||
+ | * [[ 2.12 Further reading| 2.12 Further reading ]] | ||
+ | |||
+ | |||
+ | The PDF file of the chapter is available | ||
+ | |||
+ | |||
+ | ~~DISCUSSION|Questions, Remarks, and Suggestions~~ |
book/chap2/forcestorques.1610702065.txt.gz · Last modified: 2021/01/15 10:14 by 3725327