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E1 Mechanics Summary

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Summary of the first semester mechanics lecture

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  • January 15, 2025
  • 31
  • 2020/2021
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E1: Mechanik Zusammenfassung

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it i
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l
v×=Vxo
l
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Vy Hyo
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'
i
f
Faltzeit =
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by
i ,
1
'




superpositions princip
D
oo
rosin -
pro s

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- O Vx=Vxo


ftp.xatvffoxschriigerwurf
y
= -




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-

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a


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ore
t
:
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> S
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Geschwindigiceit ( Y:L:{I} ) (g) : fits -

-
+ ot



Ftugzeitlftugdauerlwurtdauer tp =2gV sink)
:




Wurtweibelwurfdistanz I Reichweite :
Xp =VgIsinC2x)
Wurfhihe :

yin
-
-
basins Aufmeffwinkel -
Abwvrfwinkel 2=2'
2g
Y^ rvttttst)
Kreis bewegung , konstankgeschwindigkeit
? →

- -
-
- AW
i n

Einheitsrekhren : Er -
(8.Snf ) Est =

taint ) i ve)
961 '
>
y

Bahngleichungen Ptt ) Res 8¥ )
: = = R -
Er Mt) x




Ptt ) -

-


Rwtsionswwtt )= Rw .

Et

att ) = -
Rwalwsisnwwtt ) = -

rooter

F Fox F F×V→=r→×cw→xr→ ) face
Winkelgeschwindigkeit = -
:




( pseudo vekhorlaxiallrvekhr)
cost
w→=¥cr→×J ) Drehebene

↳ Vekhorderwinkelgeschwirdigkeit
Zenrripetalbeschleunigung AZ Rater =


LI Er
-
=
: -




↳ Vekhoren + Vorzeichen in these Fallen
egad

,Newwnische.me#

Axiom :


inputs

Triigheitsaxiomltriigheitsprinzip :p -
-
Mv F -
-
o ⇐
B -
const .




E of F= ftp.Triigemasse-sohwere Masse
Akrionsprinzip m
: - -




Reactions
princip
:
Fa =
-



Fan
( Aktion -
Reaction)



kriitlezerlegung Bsp .




Schiefelbein :c :



Eg =
Ef + FI , Fi , =

Hangabwiebskratt
Ey


> Fil
S
FN --
Normal Kraft 5- koordinaie am Hang
Cat


Fa Fi ,
=

Fg
-


Sina =
m -




g. sina =
m
.d2a¥=mw
Seiu : i


Vertikalekomponente :




0,4N WsC37° ) -10,3N WSC 530 )

10,3N JOHN
=
0,5N




) 0,5N
Horizontal ,
Nginczao ) -


0,3N sin ( 537=0


¥-1
Rotation am Fader , Komische Penda l

E -
-

Maz ( in Rotations ebene)
I 'RE
Fs seilkraftlzwangskrattlentiangdesseib)
g
-

-




m -




g
-
tana = m -
R wa-


w =
Kreis frequent ,
Arbeit + Epot : W = E. 5 (Kraft .
Streda)


Schiefer Eberle :



" " d'
cskaearproau.ca,

In
>




0%17,4 C) LF 8) Y got x
"

,
= =
h =
s -
Sina hone


W = F. 8 = F. s -

cos Ota) = -

Fssinx = -
F


BEEF )dF
Integral
Wp! Lweginiegraliiber die Kraft)
Als :




g§Ecr3dF=0
↳ conservatives krattfeld =

wegunabheingige Arbeit

, -
a

f
Arbeit & E- pot :
wya = -

DE pot
was
DEpot =

Ep of L2)
-




Epotll)
-


!
HubArbeit Gravitation feld W
! M
g dz
Mgh Epcot co) Epotlh)
-
= = =
: - -




Kinen sche Energie :
Ekin =
IMP
Energie Satz : E-pot t
Ekin =
constant


Lei stung :

p
=
date -

-




ftp./FEcr3dr--datpfFEr3vcr3dt--Fcr3-Tcr )

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