Composición 4

En este sistema hay dos pares de ruedas  que se mueven de forma solidaria, las que tienen por centros P (con puntos B y B') y Q (puntos C y C').
En el diseño podemos variar los radios de todas las circunferencias y estudiar los factores de transmisión y los sentidos de giro

Usa la aplicación y responde:

 Estudia la transmisión del movimiento desde la rueda motriz (roja) hasta cada una de las seguidoras y el sentido de giro de cada una.

Animación

SI

NO

SI

NO

Lugar geom 

SI

NO

SI

NO

Desplazamiento manual

Mueve A

O = (-4.541080927619415, 4.409908540008327)
d = 1 (slider from 0.2 to 2, step 0.1)
c = 1.4999999999999996 (slider from 0.2 to 2, step 0.1)
α = 25.733134491404396 rad (slider from 0° to 3600°, step 0.1°)
a = 1.9999999999999996 (slider from 0.2 to 2.5, step 0.1)
f_1 = Circle(O, a)
P = (1.9348118617686938, 4.916402948116894)
B1: P + (1, 0)
i = Ray(P, B1)
b = 1 (slider from 0.2 to 2, step 0.1)
p = Circle(P, b)
C1 = Intersect(p, i, 1)
c_1 = 2.0625 (slider from 0 to 5, step 1.0E-4)
k = 0 (slider from 0 to 1, step 1)
v = 0 (slider from 0 to 1, step 0.1)
d1: (10 * v)
texto1e: "Velocidad animación: " + d1 + ""
k1 = 0 (slider from 0 to 1, step 1)
t = 0.218 (slider from 0 to 1, step 0.001)
nada = 3.8 (slider from -5 to 5, step 0.1)
fab: a / b
O1: O + (a, 0)
P1: P + (b, 0)
A = Rotate(O1, α, O)
g = Segment(O, A)
β: (fab * α)
B = Rotate(P1, (-β), P)
h = Segment(P, B)
j, l, m, n = Tangent(f_1, p)
Intersect(-40.93718741964888x² - 6.560006970671349x y + 0.7434634145547538y² - 291.0619889659154x - 32.294778596755044y = 496.9636765806356, f_1)
CC = Intersect(p, n, 1)
DD_1 = Intersect(p, m, 1)
E = Intersect(f_1, m, 1)
r = Segment(DD_1, E)
F = Intersect(f_1, n, 1)
q = Segment(F, CC)
e_1 = CircleArc(O, F, E)
texto1a: "OA = " + a + ""
texto1b: "PB = " + b + ""
e = 2 (slider from 0.2 to 2, step 0.1)
f = 0.9999999999999999 (slider from 0.2 to 3, step 0.1)
c_1 = Circle(P, c)
Q = (2.4774844418850157, 0.08661698508162696)
d_1 = Circle(Q, d)
g_1 = Circle(Q, e)
R = (-4.03458651951085, -0.021917530941637477)
k_1 = Circle(R, f)
i_1, j_1, l_1, m_1 = Tangent(c_1, d_1)
Intersect(0.7055064707898937x² + 5.241984819939888x y - 22.326832448732507y² - 26.059727588690713x + 187.65911850363102y = 390.0918763442621, c_1)
I = Intersect(d_1, j_1, 1)
J = Intersect(d_1, i_1, 1)
K = Intersect(c_1, i_1, 1)
L = Intersect(c_1, j_1, 1)
M = Intersect(c_1, h, 1)
n_1 = Segment(K, J)
p_1 = Segment(L, I)
r_1 = CircleArc(P, L, K)
N = (-3.8048484848484843, 6.610216450216449)
h_1 = Ray(P, B)
B' = Intersect(c_1, h_1)
fac: (fab * c / d)
s_1 = Segment(B, B')
γ: (fac * α)
G1: Q + (d, 0)
C = Rotate(G1, (-γ), Q)
t_1 = Ray(Q, C)
C' = Intersect(g_1, t_1, 1)
a_1 = Segment(Q, C)
b_1 = Segment(C, C')
f_2, g_2, h_2, i_2 = Tangent(g_1, k_1)
Intersect(-41.40706820625531x² - 1.4135689402085103x y + 0.9882202588315958y² + 153.19660591877735x + 2.4626256098792023y = 141.30593476407793, g_1)
DD = Intersect(g_1, i_2)
G = Intersect(k_1, i_2)
R_1 = Intersect(k_1, h_2)
S = Intersect(g_1, h_2)
j_2 = Segment(G, DD)
k_2 = Segment(S, R_1)
d_2 = CircleArc(Q, S, DD)
H1: R + (f, 0)
faf: (fac * e / f)
δ: (α * faf)
D = Rotate(H1, δ, R)
l_2 = Segment(R, D)
texto3: "PB' = " + c + ""
texto4: "QC = " + d + ""
texto5: "QC' = " + e + ""
texto6: "RD = " + f + ""
c_2 = CircleArc(R, R_1, G)
q_1 = CircleArc(Q, J, I)
s = CircleArc(P, CC, DD_1)