Polipasto 3 poleas.

Está formado por dos poleas fijas de centros B y C y una móvil con centro en A.  

Cuando el punto P se desliza hacia abajo, la polea móvil asciende con el gancho para elevar pesos.

Usa la aplicación y responde:

1. ¿Cuánto asciende el punto A 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

M = (-4.993308077716352, 5.983659022345657)
M1: M + (1, 0)
g = Line(M, M1)
h = OrthogonalLine(M, g)
b = 1.5000000000000013 (slider from -5 to 5, step 0.01)
a = 1.4999999999999996 (slider from -5 to 5, step 0.1)
M2: M + (a + b, 0)
B: M2 - (0, 2)
p = Circle(B, b)
j = Segment(B, M2)
m = OrthogonalLine(B, j)
D = Intersect(p, m, 1)
r = OrthogonalLine(D, g)
D1 = Point(r)
s = OrthogonalLine(D1, h)
J = Intersect(h, s)
D2 = Point(r)
t = 0.635 (slider from 0 to 1, step 0.001)
P: D1 + (t * (D2 - D1))
dd = Distance(P, D1)
d = 2.1000000000000005 (slider from -5 to 5, step 0.1)
c = 3.300000000000003 (slider from -5 to 5, step 0.1)
A: J + (0, dd / 3) - (0, 4)
f = Circle(A, a)
B1: B + (1, 0)
i = Ray(B, B1)
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)
k1 = 0 (slider from 0 to 1, step 1)
nada = -1.1 (slider from -5 to 5, step 0.1)
texto3: "CD = " + c + ""
texto1b: "BC = " + b + ""
texto1a: "AB = " + a + ""
texto4: "DA = " + d + ""
l = OrthogonalLine(A, h)
CC = Intersect(p, m, 2)
E = Intersect(f, l, 1)
F, G = Intersect(f, l)
n = Segment(E, CC)
q = OrthogonalLine(G, g)
H = Intersect(q, g)
I = Intersect(g, r)
texto1e: "Vel animación: " + d1 + ""
AA: D1 + (t * (D2 - D1))
α: dd
BB = Rotate(D, (-α), B)
e = Segment(H, G)
f_1 = Segment(E, CC)
g_1 = Segment(D, D1)
c_1 = CircleArc(B, D, CC)
d_1 = CircleArc(A, G, E)
h_1 = Segment(M, A)
K = Point(g)
L = Point(g)
i_1 = Segment(K, L)
EE = Rotate(E, α / 3, A)
j_1 = Segment(EE, A)
k_1 = Segment(B, BB)
l_1 = Segment(I, D1)
m_1 = Segment(D1, D2)
N = Intersect(f, d_1, 1)
O = Intersect(f, d_1, 1)
P_1, Z = Intersect(f, d_1)
Q = Intersect(f, d_1, 1)
R = Intersect(f, d_1, 1)
S, T = Intersect(f, h)
S1: S + (0, -0.3)
S2: S1 + (0, -0.2)
S3 = Rotate(S1, 270°, S2)
n_1 = Segment(S1, S)
p_1 = Segment(P, D1)
q_1 = Segment(D, D1)
M2' = Mirror(M2, h)
u = Vector(M2, M2')
C = Translate(B, u)
M2'_1 = Translate(M2, u)
j' = Segment(C, M2'_1)
p' = Translate(p, u)
r_1 = Translate(c_1, u)
C' = Mirror(CC, h)
D' = Mirror(D, h)
s_1 = Line(D', h)
t_1 = Line(S1, i_1)
U = Intersect(s_1, t_1)
a_1 = Segment(D', U)
V = (-1.5364502164502172, 6.229264069264068)
W = Midpoint(S1, U)
W1: W - (0, 0.3)
W2: W1 - (0, 0.2)
W3 = Rotate(W1, 270°, W2)
e_1 = CircleArc(W2, W1, W3)
b_1 = Segment(W1, W)
f_2 = Segment(C', G)
FF = Rotate(C', ((-α)) / 3, C)
g_2 = Segment(C, FF)
h_2 = Segment(U, S1)
i_2 = Segment(A, M)
j_2 = Segment(W1, W)