Theoretical Mechanics IPSP

Jürgen Vollmer, Universität Leipzig

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book:chap3:newton [2021/10/07 05:15] jvbook:chap3:newton [2022/04/01 19:49] (current) jv
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-====== 3. Newton'laws ======+====== 3. Newton'Laws ======
  
-The PDF file of the chapter is available  {{ book:chap3:2021_jv_unil_mechanics_chap03.pdf |here}}+In [[book:chap2:forcestorques|Chapter 2]] we explored how several forces that act on a body can be subsumed into a net total force and torque. The body stays in rest, say at position $\mathbf q_0$, when the net force and torque vanish. Now we explore how the forces induce motion  
 +and how the position of the body evolves in time, $\mathbf q(t)$, 
 +when it is prepared with an initial condition $\mathbf q(t_0) = \mathbf q_0$ 
 +at the initial time $t_0$.
  
-I am curious to see your questions, remarks and suggestions: 
  
-~~DISCUSSION~~+<WRAP 400px center> 
 +{{Falling_cat_1894.jpg}} 
 +<wrap lo> Photographs of a Tumbling Cat. [[https://doi.org/10.1038/051080a0 | Nature 51, 80–81 (1894)]] 
 +</wrap> 
 +</WRAP> 
 + 
 +At the end of this chapter we will be able to discuss the likelihood for injuries in different types of accidents, be it men or cat or mice.  
 +Why do the cats go away unharmed in most cases when they fall from a balcony, 
 +while an old professor should definitely avoid such a fall. 
 +As a worked example we will discuss [[https://www.grc.nasa.gov/WWW/K-12/rocket/rktbot.html | water rockets]].\\ 
 + 
 + 
 +----- 
 + 
 +  * [[  3.1 Motivation and outline | 3.1 Motivation and outline: What is causing motion?]] 
 +  * [[  3.2 Time derivatives of vectors | 3.2 Time derivatives of vectors ]] 
 +  * [[  3.3 Newton’s axioms and equations of motion (EOM) | 3.3 Newton’s axioms and equations of motion (EOM)]] 
 +  * [[  3.4 Constants of motion (CM) | 3.4 Constants of motion (CM)]] 
 +  * [[  3.5 Worked example Flight of an Earth-bound rocket | 3.5 Worked example: Flight of an Earth-bound rocket]] 
 +  * [[  3.6 Problems | 3.6 Problems]] 
 +  * [[  3.7 Further reading | 3.7 Further reading]] 
 + 
 + 
 +The PDF file of the chapter is available   {{ book:chap3:2021_jv_unil_mechanics_chap03.pdf |here}}.   
 + 
 + 
 +~~DISCUSSION|Questions, Remarks, and Suggestions~~
book/chap3/newton.1633576547.txt.gz · Last modified: 2021/10/07 05:15 by jv