physik m - graz university of technologylampx.tugraz.at/~hadley/physikm/lectures16/oct28.pdf0.500...
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![Page 1: Physik M - Graz University of Technologylampx.tugraz.at/~hadley/physikm/lectures16/oct28.pdf0.500 14. 21. 29. 36. 44. 52. 60. 68. 76. 83. 191468 556045 073493 721801 477305 314830](https://reader033.vdocuments.us/reader033/viewer/2022060715/607b6547e9518b334524aeac/html5/thumbnails/1.jpg)
511.015 Physik M
Physik M
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Punktmechanik
r v F
adrvdt
dva
dt
0
0( ) ( ') ' ( )t
t
r t v t dt r t
0
0( ) ( ') ' ( )t
t
v t a t dt v t
F ma
Fam
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Numerisches Lösen von Differentialgleichungen
xdx vdt
00x t x
, ,x xx F x v tdvdt m
Anfangsbedingungen: 00x xv t v
0 xx t x v t 0x x xv t v a t
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2
2
2
2
d xF m mgdt
d x dv gdt dt
Ball werfenohne Reibung
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2
2
2
2
x
x
d xF m mg avdt
d x dv ag vdt dt m
Ball werfenmit Reibung
Endgeschwindigkeit
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2
2
2
2x
d xF m kxdtdvd x k x
dt dt m
Massa - Feder
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2
2
2
2
cos( )
cos( )
x
xx
d xF m kx av A tdtdvd x k a A tx v
dt dt m m m
Massa - Federmit Reibung
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Numerisches Lösen von Differentialgleichungen
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Rocket launch
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