Date: 29 Září 2013

čas

$\overrightarrow{Y_1}$

$Δφ$

$\overrightarrow{Y_2}$

$\overrightarrow{Y}$

Stopa

rychlost animace

kružnice

skládané kmity

y

stopy - křívky

jen y_1 a y_2 ---- vše ---- jen výsledné kmity

kruhová křivka

Kruhová stopa

více možností

t=0

$φ_{01}$

$Δφ_{0}$

Δφ_0  \text{ - počáteční fázový rozdíl fázorů }\overrightarrow{Y_1}\text{ a }\overrightarrow{Y_2}

$φ_{01}  \text{ - počáteční fáze fázoru }\overrightarrow{Y_1}$

\text{Fázorový diagram = poloha rotujících fázorů v čase }t=0

\overrightarrow{Y_1},\: \overrightarrow{Y_2}, \:\overrightarrow{Y} \text{ - fázory    } 

výsledná kružnice

\overrightarrow{Y}=\overrightarrow{Y_1}+\overrightarrow{Y_2}

delta0 = 0.5235987755982988 (slider from -0.52359878 to 0.5235987755982988, step 0.06544985)
t = 0 (slider from 0 to q, step 0.001)
S = (-2, 0)
ym1 = 1 (slider from 0 to 1, step 0.1)
f_1 = 1 (slider from 1 to 5, step 1)
A_3 = (0, 0)
zoom = 1.7 (slider from 1 to 5, step 0.1)
f_2 = 2 (slider from 1 to 5, step 0.5)
ym2 = 0.7 (slider from 0 to 1, step 0.1)
A_1: (x(S) + ym1 * cos(2 * π * f_1 * t + delta0), y(S) + ym1 * sin(2 * π * f_1 * t + delta0))
u = Vector(S, A_1)
delta = 1.5707962800000002 (slider from 0 to 3.141592653589793, step 0.13089969)
E: (x(A_3) + t * zoom, y(A_3) + ym1 * sin(delta0 + 2 * π * f_1 * t) + ym2 * sin(delta0 + delta + 2 * π * f_2 * t))
B_3: (x(S) + ym2 * cos(2 * π * f_2 * t + delta + delta0), y(S) + ym2 * sin(2 * π * f_2 * t + delta + delta0))
A_2: B_3
w = Vector(S, A_2)
v = Vector(S, S + u + w)
B: S + v
b1: 2 * zoom / LCM[f_1, f_2]
c = Circle(S, ym1)
on = 0
b = 9
B_4: (x(A_3) + t * zoom, y(A_3) + ym1 * sin(2 * π * f_1 * t))
D: (x(A_3) + t * zoom, y(A_3) + ym2 * sin(2 * π * f_2 * t))
B_2: E
Δφ: delta * 180 / π
a = Segment(B, E)
B_1 = Intersect(a, yAxis)
i = true
anim = 0.5 (slider from 0 to 1, step 0.1)
j = false
e = true
l = false
stopa = 0 (slider from 0 to 1, step 1)
k = CurveCartesian(x(S) + ym1 * cos(2 * π * f_1 * k) + ym2 * cos(2 * π * f_2 * k + delta), y(S) + ym1 * sin(2 * π * f_1 * k) + ym2 * sin(2 * π * f_2 * k + delta), k, 0, 6.28319)
m = 3 (slider from 1 to 3, step 1)
n = false
o = false
p = false
r: sin(π * (f_1 + f_2))
q = If(f_2 ≟ 1.5 ∨ f_2 ≟ 2.5 ∨ f_2 ≟ 2.5 ∨ f_2 ≟ 3.5 ∨ f_2 ≟ 4.5, 2, 1)
s = Circle(S, A_2)
d = Segment(B, A_2)
a_1 = Segment(B, A_1)
φ_0: delta0 * 180 / π
text2: "φ_{01}=" + (LaTeX[φ_0]) + "°"
f = Function(ym1 * sin(delta0 + 2 * π * f_1 / zoom * (x - x(A_3))) + y(A_3), x(A_3), x(A_3) + b)
b_1 = Segment((-5, 0), (0, 0))
A = (0, 0)
α = Angle(A, S, A_1)
H = Function(ym1 * sin(delta0 + 2 * π * f_1 / zoom * (x - x(A_3))) + ym2 * sin(delta0 + delta + 2 * π * f_2 / zoom * (x - x(A_3))) + y(A_3), x(A_3), x(A_3) + q * zoom)
h = Function(ym1 * sin(delta0 + 2 * π * f_1 / zoom * (x - x(A_3))) + ym2 * sin(delta0 + delta + 2 * π * f_2 / zoom * (x - x(A_3))) + y(A_3), x(A_3), x(A_3) + b)
g = Function(ym2 * sin(delta0 + delta + 2 * π * f_2 / zoom * (x - x(A_3))) + y(A_3), x(A_3), x(A_3) + b)
β = Angle(A_1, S, A_2)
c_1 = Circle(S, B)
text1: "Δφ_{0}=" + (LaTeX[Δφ]) + " °"
kk = 0
z = false