Allgemeine Sinusfunktion
Author: Andreas Jäger
Date: 18 April 2013

Kartoffelsack

x_S =

y_S =

F_G =

-F_G

Linke Aufhängung

Rechte Aufhängung

x(l)=

y(l)=

x(r)=

y(r)=

Kraft eines Kartoffelsackes

Seilkräfte - Werte

Parallelogramm

Kartoffelsack

waende

KZ

Sack

F_{h/r}

Datum Stand
15.02.2022
Andreas Jäger

Stand

Winkel

Seilkräfte

-----------------------------------------------------------

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Bsp

3.1

0

3.2

3.3

3.4

Gewichtskraft

\vec{F}_G

\vec{F}_R

\vec{F}_L

\vec{F}_{R,V}

\vec{F}_{L,V}

\vec{F}_{R,H}

\vec{F}_{L,H}

2.4

x_L: 0
y_L: 0
Lampe: (x_L, y_L)
Textfeld2 = Textfield(x_L)
Textfeld3 = Textfield(y_L)
f_{Gy}: -10
G: (x_L, f_{Gy} + y_L)
Textfeld4 = Textfield(f_{Gy})
F_G = Vector(Lampe, G)
Hilfsstrahl_1 = Ray(G, Lampe)
Hilfskreis_1 = Circle(Lampe, G)
Hilfspunkt_1, G_{-} = Intersect(Hilfskreis_1, Hilfsstrahl_1)
F_{-G} = Vector(Lampe, G_{-})
a_{lx}: -3
a_{ly}: 3.57526
a_{rx}: 3
a_{ry}: 1.73205
L: (a_{lx}, a_{ly})
R: (a_{rx}, a_{ry})
Textfeld1 = Textfield(a_{lx})
Textfeld5 = Textfield(a_{ly})
Textfeld6 = Textfield(a_{rx})
Textfeld7 = Textfield(a_{ry})
Hilfsstrahl_2 = Ray(Lampe, R)
Hilfsstrahl_3 = Ray(Lampe, L)
Parallele_1 = Line(G_{-}, Hilfsstrahl_3)
Parallele_2 = Line(G_{-}, Hilfsstrahl_2)
Hilfspunkt_2 = Intersect(Hilfsstrahl_3, Parallele_2)
Hilfspunkt_3 = Intersect(Hilfsstrahl_2, Parallele_1)
Aufhaengung_1 = Segment(Lampe, L)
Aufhaengung_2 = Segment(Lampe, R)
F_l = Vector(Lampe, Hilfspunkt_2)
F_r = Vector(Lampe, Hilfspunkt_3)
α = Angle(R, Lampe, L)
Text5: "F_G = " + (LaTeX[abs(F_G)]) + "\ N"
Text3: "\Bigl\}F_L = " + (LaTeX[abs(F_l)]) + "\ N"
Text4: "\Bigl\} F_R = " + (LaTeX[abs(F_r)]) + "\ N"
a = false
b = false
c = false
Wand_{l1}: (x(L), -5)
Wand_{l2}: (x(L), 5)
Wand_{l3}: (x(L) - 1, 5)
Wand_{l4}: (x(L) - 1, -5)
Wand_l, wand_{l2}, wand_{l3}, wand_{l4}, wand_{l1} = Polygon(Wand_{l2}, Wand_{l3}, Wand_{l4}, Wand_{l1})
Wand_{r1}: (x(R), -5)
Wand_{r2}: (x(R), 5)
Wand_{r3}: (x(R) + 1, 5)
Wand_{r4}: (x(R) + 1, -5)
Wand_r, wand_{r2}, wand_{r3}, wand_{r4}, wand_{r1} = Polygon(Wand_{r2}, Wand_{r3}, Wand_{r4}, Wand_{r1})
e: c
ok: y(Lampe) < Min[y(L), y(R)] ∧ x(Lampe) ≥ x(L) ∧ x(Lampe) ≤ x(R)
f: ok
d = true
A: (x_L - 0.5, y_L - 1.3)
B: (x_L + 0.5, y_L - 1.3)
F_{hl}: (x(F_l), 0)
F_{vl} = Vector((x(F_l), 0), (x(F_l), y(F_l)))
F_{hr}: (x(F_r), 0)
F_{vr} = Vector((x(F_r), 0), (x(F_r), y(F_r)))
Text7: "F_{hl}=" + (LaTeX[abs(F_{hl})]) + "\ N"
Text8: "F_{vl}=" + (LaTeX[abs(F_{vl})]) + "\ N"
Text9: "F_{hr}=" + (LaTeX[abs(F_{hr})]) + "\ N"
Text10: "F_{vr}=" + (LaTeX[abs(F_{vr})]) + "\ N"
g = false
h = false
i = true
j = false
aL = Angle(yAxis, Aufhaengung_1)
aR = Angle(Aufhaengung_2, yAxis)
Text2: "α = " + (LaTeX[α]) + "\cr\ \cr
α_{Li} = " + (LaTeX[aL]) + "\cr
α_{Re}=" + (LaTeX[aR]) + ""
k = false