Polipasto 4 poleas

Está formado por cuatro poleas, dos fijas (con centros en A y B) y dos móviles (centros C y D).

Usa la aplicación y responde:

1. ¿Cuánto asciende el punto C cuando P desciende un metro?

2. ¿Que efecto tendrá sobre los pesos que podamos subir?.

Animación

SI

NO

SI

NO

Lugar geom 

SI

NO

SI

NO

Mueve P

A0 = (1.420095141840184, -2.3636319372617676)
e3 = 7 (slider from 0 to 10, step 0.1)
e2 = 1 (slider from 0 to 5, step 0.1)
t = 0.123 (slider from 0 to 1, step 0.001)
b = 0.4 (slider from 0 to 2, step 0.1)
M = (-4.939040819704719, 5.6942336462836165)
a = 0.6 (slider from 0 to 2, step 0.1)
e1 = 0.3 (slider from 0 to 5, step 0.1)
A: M - (0, a + e1)
M3: A - (0, e3)
B: A - (0, b + e2)
f = Circle(B, b)
e = Circle(A, a)
i, j = Tangent(A0, e)
D0 = Point(i)
C0 = Point(i)
P: C0 + (t * (D0 - C0))
dd = Distance(P, C0)
D: M3 + (0, a + dd / 4)
C: D + (0, e2 + b)
q = Circle(C, b)
s, f_1, g_1, h_1 = Tangent(f, q)
Intersect(0.9999999999999825x² - 71.97737487965378y² + 9.878081639409178x + 481.7819114892277y = 781.8077226335392, f)
T = Intersect(q, s, 1)
m, n = Tangent(B, q)
G = Intersect(q, n, 1)
g = Line(M, A)
h = OrthogonalLine(M, g)
d = 2.1000000000000005 (slider from -5 to 5, step 0.1)
c = 3.300000000000003 (slider from -5 to 5, step 0.1)
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)
k1 = 0 (slider from 0 to 1, step 1)
nada = -1.3 (slider from -5 to 5, step 0.1)
texto3: "CD = " + c + ""
texto1b: "BC = " + b + ""
texto1a: "AB = " + a + ""
texto4: "DA = " + d + ""
texto1e: "Vel animación: " + d1 + ""
K = Point(g)
e4 = 1 (slider from 0 to 5, step 0.1)
B0 = Intersect(e, i, 1)
l = Segment(C0, D0)
F: B - (0, b + e2)
p = Circle(D, a)
r = Segment(B, G)
H = Intersect(f, g_1, 1)
I = Intersect(q, g_1, 1)
j_1, k_1, l_1, m_1 = Tangent(f, p)
Intersect(1.0000000000000089x² - 63.45605872599471y² + 9.878081639409483x + 426.4875375383507y = 692.2093762306893, f)
J = Intersect(p, m_1, 1)
L = Intersect(f, m_1, 1)
p_1, q_1, r_1, s_1 = Tangent(e, p)
Intersect(1.0000000000000089x² - 106.36661750547678y² + 9.878081639409503x + 1007.458689286121y = 2361.155953478009, e)
N = Intersect(p, r_1, 1)
O = Intersect(e, r_1, 1)
a_1 = Segment(B0, C0)
O' = Mirror(O, g)
A1 = Rotate(O', dd, A)
b_1 = Segment(A, A1)
A4 = Rotate(J, dd / 4, D)
c_1 = Segment(D, A4)
ab: a / b
A2 = Rotate(L, (ab * dd / 4), B)
d_1 = Segment(B, A2)
A5 = Rotate(G, (ab * dd / 4), C)
e_1 = Segment(C, A5)
c_2 = CircleArc(A, B0, O)
e_2 = CircleArc(C, T, G)
d_2 = CircleArc(B, L, H)
g_2 = Segment(M, D)
h_2 = Segment(P, C0)
P_1 = Point(h)
Q = Point(h)
i_2 = Segment(P_1, Q)
j_2 = Segment(M, B)
f_2 = CircleArc(D, J, N)
t_1 = Segment(J, O)
n_1 = Segment(L, N)
E = Intersect(f, s)
R = Intersect(q, e_2, 1)
S = Intersect(q, e_2, 1)
Segmento(I, H) = Segment(T, H)