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--- book:chap2:forcestorques [2021/01/14 23:56] – ↷ Page moved from chap2:forcestorques to book:chap2:forcestorques jv
+++ book:chap2:forcestorques [2022/04/01 19:49] (current) – jv
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-====== 2. Balancing forces and torques ======
+====== 2. Balancing Forces and Torques ======
-The PDF file of the chapter is available  {{ :chap2:2020_jv_unil_mechanics_chap02.pdf |here}}.
+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:chap2:mobile_sculpture_in_the_style_of_alexander_calder.jpg?direct&400 |}}
+<wrap lo> Mobile (sculpture) in the style of [[https://en.wikipedia.org/wiki/Alexander_Calder|Alexander Calder]]\\ [[https://commons.wikimedia.org/wiki/File:Mobile_(sculpture)_in_the_style_of_Alexander_Calder.jpg|Andrew Dunn/wikimedia]], [[https://creativecommons.org/licenses/by-sa/2.0|CC BY-SA 2.0]]
+</wrap>
+</WRAP>
-~~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: balancing forces]]
+  * [[  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's mobiles| 2.10 Worked example: Calder's mobiles ]]
+  * [[ 2.11 Problems| 2.11 Problems ]]
+  * [[ 2.12 Further reading| 2.12 Further reading ]]
+The PDF file of the chapter is available   {{ book:chap2:2021_jv_unil_mechanics_chap02.pdf |here}}.
+~~DISCUSSION|Questions, Remarks, and Suggestions~~