The main objective of this course is to introduce students of physics to the 'modern' formalism of classical (or Newtonian) mechanics, especially Lagrangian and Hamiltonian mechanics. An important part of the course will focus on introducing the variational methods and principles in mechanics, or m...
symmetries in lagrangian of a conservative holonic system
conservation of linear momentum
conservation of angular momentum
Written for
Paris-Sud (UPS11)
Physics
0000
All documents for this subject (6)
Seller
Follow
jawadcheayto
Content preview
Symmetries of Space andtime induce Jawad Cheayto
corresponding symmetries in
the Lagrangian
of a conservative holonomic system
These symmetries in turn allow us
to obtain conservation laws
forsome
physical quantities suchas energy and
momentum
Audio I
Space is homogeneous
Space is isotropic No possibility tosingleout a proffered direction
Time is homogeneous
System is isolated
conservativetholononic
2 0 East
System is isolated
81 0 underarbitrary
virtualspace translation
Audio3
Conservation
ofEnergy
Let E be a conservative holonomic system composed of N particles
We assumefurthermorethat the constraints Kconstraints holonomictime
independent
aretimeindependent x in initn so
ysits Xa gaita
Lf
f X
lyzits X2 gaita XnYn itn so
,Fkn yl Audio 4
It
In fact K U
E aapal9ir
xjiIjiYa
i.I7d
Zil9si
Zi
i9s
U Ul9u9a
I
Ms where a O
Y f Y 0 0 0
Audios
dtdl4 df.lk ddcy
Asda 13kt gifts L
Efik dainty ii III living I'd
Ii CIg.oid ddf.Ei9aYg
, Audio6
ade's
adf.EE
da Esa 3 4 0
So Iggy L est
2L NH ul
Iga Join Eda 292
Eda
f Eoin Ig
we have 0 since U UH as
Yg
so 9
YEE's Iq
We will admitfor the moment that
gaia Jtg 2K
Soas Iggy Iggy L est
then 2h1 Last
2h1 th U est
2h1 Kt Vest
hitUs est East
, Goin h 2K Audio7 8
g
Recallthat the paapl9lgj9p
th 12 pa4Bl9l9I9p 8th2.3 s
Igg
joy
fgaaa.BY 9I9ptaaplalfg2g949pta4Bca19afg9jB
p
otaqpcglkg9ptaa.pl Gasps
p
L Epfaapcallsasciptoiasps Sastffitopf
t.EE a4plaKSx89pt9a8p8
aaspl919pt 19,8419ps
Ay as Ad8
12 SEEasa4i9at 49,84192 adpik9p ap.aoipd
layptap419
aa.sc Ga l
a'xp Aba Lg Agptapsd
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller jawadcheayto. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £6.47. You're not tied to anything after your purchase.
