Ruhelage

E_{pot}

31 - Schwingungsenergie (Federpendel)

Version Stand
21.11.2020
Andreas Jäger

Stand

E_{kin}

s(t)

v(t)

E_{ges}

s_0

E_{pot,0}

E_{kin,0}

v_0

NP: (0, 0)
t: 0
x1: 0
v2: ((-x1) * sin(t))
Pv: (v2, 0)
x2: (x1 * cos(t))
P1: (x1, 0)
P2: (x2, 0)
f(x) = If[-7 ≤ x ≤ x2, sin(((20 * π) * (x + 7) / (x2 + 7)))]
P3: (x1, 0)
P0: (-7, 0)
g = Segment(NP - (0, 1.3), NP)
b = false
Text1: "Feder " + (If[x2 < 0, "gestaucht", If[x2 > 0, "gedehnt", "entspannt"]]) + ""
d = false
D: 1
m: 1
Epot: ((1 / 2 * D) * x2^(2))
Emax: ((1 / 2 * D) * x1^(2))
Ekin: ((1 / 2 * m) * v2^(2))
Esum: Ekin + Epot
fak: 1
Ppot: (t, (fak * Epot))
Pkin: (t, (fak * Ekin))
fkin(x) = If[x ≥ 0, (((1 / 2 * m) * x1^(2)) * sin(x)^(2))]
fpot(x) = If[x ≥ 0, (((1 / 2 * D) * x1^(2)) * cos(x)^(2))]
ffKin(x) = If[x ≤ t, fkin(x)]
ffpot(x) = If[x ≤ t, fpot(x)]
a = false
pot(x) = If[x ≥ 0, (x1 * cos(x))]
kin(x) = If[x ≥ 0, ((-x1) * sin(x))]
h = Segment(P2 + (0, 1.3), P2)
v = Vector(NP - (0, 1.3), P2 - (0, 1.3))
u = Vector(P2 + (0, 1.3), Pv + P2 + (0, 1.3))
PPpot: (t, (x1 * cos(t)))
PPkin: (t, ((-x1) * sin(t)))
c = false
e = false
fGEs(x) = If[x ≥ 0, Esum]
i = false
ffGes(x) = If[x ≤ t, fGEs(x)]
PPGes: (t, Esum)
Pot0: (0, (1 / 2 * x1^(2)))
Kin0: (0, 0)
j = Vector((-0.05, (-1.3 * Max[x1, (1 / 2 * x1^(2))])), (-0.05, (1.3 * Max[x1, (1 / 2 * x1^(2))])))
w = Vector((0.05, (-1.3 * Max[x1, (1 / 2 * x1^(2))])), (0.05, (1.3 * Max[x1, (1 / 2 * x1^(2))])))