Masse

P

Start

A

y

y

y Elongation

Zeit t

y

y

Reset

v_y

v_y

v_y

v_y Schnelle

a_y Beschleunigung

a_y

a_y

a_y

φ

φ Phasenwinkel

Schnelle v_y

Beschleunigung a_y

Elongation y

Üerschreiben

t

δ = 0 (slider from 0 to 2, step 0.1)
A = 4.5 (slider from 0 to 5, step 0.1)
m = 4 (slider from 0.1 to 4, step 0.1)
k = 2 (slider from 1 to 100, step 1)
ω: sqrt(k / m)
t = 20 (slider from 0 to 20, step 0.01)
ωt: (ω * t)
φ = 0 rad (slider from 0 to 6.283185307179586, step 0.08726646259971647)
C = Point(yAxis)
T: ((2 * π) * sqrt(m / k))
g: y = ((A * exp(((-δ) * t))) * sin(ωt + φ))
B = Intersect(g, yAxis)
r = 0.4 (slider from 0 to 2, step 0.1)
c = Circle(B, r)
D: (0, y(B) + r)
E = Midpoint(C, D)
F = Midpoint(D, E)
G = Midpoint(C, E)
H = Midpoint(C, G)
I = Midpoint(G, E)
J = Midpoint(E, F)
K = Midpoint(F, D)
L = Midpoint(C, H)
M = Midpoint(D, K)
b = 1 (slider from -5 to 5, step 0.05)
h = Segment(M, ((-b), y(K)))
i = Segment(((-b), y(K)), (b, y(F)))
j = Segment((b, y(F)), ((-b), y(J)))
l = Segment(((-b), y(J)), (b, y(E)))
n = Segment((b, y(E)), ((-b), y(I)))
p = Segment(((-b), y(I)), (b, y(G)))
q = Segment((b, y(G)), ((-b), y(H)))
s = Segment(((-b), y(H)), L)
a = Segment(L, C)
O: (t + 2, y(B))
d = Segment(M, D)
e = Segment((-4, y(C)), (4, y(C)))
x_1: -6 + ((A * exp(((-δ) * t))) * cos(ωt + φ))
y_1: ((A * exp(((-δ) * t))) * sin(ωt + φ))
N: (x_1, y_1)
v = Vector((-6, 0), N)
w = Vector((x_1, 0), N)
Text1: "Schwingungsdauer T=" + T + " s"
Text2: "Kreisfrequenz ω=" + ω + " Hz"
v_1 = Vector((2, -8), (2, 10))
f: 1 / T
u = Vector((t + 2, 0), O)
Text3: "Frequenz f=" + f + " Hz"
w_1 = Vector((0, 0), (0, y_1))
Text8: "Amplitude A=" + A + ""
Text9: "Masse m=" + m + ""
Text10: "Federkonstante k=" + k + ""
Text11: "Phasenwinkel φ=" + φ + ""
Text12: "Zeit t=" + t + "s"
v_K: (A * ω)
v_y: (v_K * cos(ωt + φ))
a_1 = Vector(N, (x(N), y(N) + v_y))
b_1 = Vector(B, (x(B), y(B) + v_y))
Q: (t + 2, v_y)
a_y: ((((-A) * ω) * ω) * sin((ω * t) + φ))
e_1 = Vector(B, (x(B), y(B) + a_y))
f_1 = Vector(N, (x(N), y(N) + a_y))
R: (t + 2, a_y)
h_1 = Vector((-6, 0), (-6 + A, 0))
α = Angle(h_1, v)
i_1 = false
Text15: "v_y=A ω cos(ωt+φ)=" + v_y + ""
Text16: "a_y=-A ω² sin(ωt+φ)=" + a_y + ""
c_1 = Circle((-6, 0), (A * exp(((-δ) * t))))
Text6: "y=A e^{-δt}sin(ωt+φ)=" + (LaTeX[y_1]) + ""
d_1 = false
g_1 = false
o = true
Text17: "Dämpfung δ=" + δ + ""
u_1 = Vector((-14, 0), (24, 0))