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ReCo.jl/graphics/Luxor_graphics/center_of_mass.jl
2022-04-05 03:22:39 +02:00

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using Luxor
using ReCo: ReCo
function gen_COM_graphics()
box_length = 100
box_height = 100
L = 0.39 * box_length
R = 0.37 * box_length
A = -0.9 * L
B = 0.65 * L
particle_radius = 0.05 * L
Ap_vec = Vector(ReCo.Shape.project_to_unit_circle(A, L))
Bp_vec = Vector(ReCo.Shape.project_to_unit_circle(B, L))
for p in (Ap_vec, Bp_vec)
p[2] *= -1
end
Ap = Point(Ap_vec[1], Ap_vec[2])
Bp = Point(Bp_vec[1], Bp_vec[2])
M = R * ((Ap + Bp) / 2)
θ = atan(-M[2], M[1])
COM = ReCo.Shape.project_back_from_unit_circle(θ, L)
si, co = sincos(θ)
COMp = R * Point(co, -si)
##
graphics_export_dir = "exports/graphics/COM"
mkpath(graphics_export_dir)
Drawing(box_length, box_height, "$graphics_export_dir/linear.pdf")
origin()
fontsize(5)
setcolor("black")
arrow(Point(-1.1 * L, 0), Point(1.2 * L, 0); arrowheadlength=0.1 * L, linewidth=1.0)
green_orange = blend(Point(-1.5 * L, 0), Point(1.5 * L, 0))
addstop(green_orange, 0.0, "orange")
addstop(green_orange, (L) / (3 * L), "green")
addstop(green_orange, (2 * L) / (3 * L), "orange")
addstop(green_orange, 1.0, "green")
setblend(green_orange)
setline(1.0)
line(Point(-L, 0), Point(L, 0), :stroke)
setcolor("red")
setline(0.5)
for x in (-L, L)
line(Point(x, 0.05 * L), Point(x, -0.05 * L), :stroke)
end
setcolor("cyan3")
line(Point(0, 0.05 * L), Point(0, -0.05 * L), :stroke)
setcolor("blue")
for p in (A, B)
circle(Point(p, 0), particle_radius, :fill)
end
text("A", Point(A - 0.030 * L, -0.08 * L))
text("B", Point(B - 0.030 * L, -0.08 * L))
setcolor("brown")
circle(Point(COM, 0), particle_radius, :fill)
text("COM", Point(COM - 0.098 * L, -0.08 * L))
setcolor("black")
text("x", Point(1.2 * L, 0.038 * L))
text("-L/2", Point(-L - 0.15 * L, 0.20 * L))
text("0", Point(0 - 0.030 * L, 0.18 * L))
text("+L/2", Point(L - 0.15 * L, 0.20 * L))
finish()
##
Drawing(box_length, box_height, "$graphics_export_dir/circular_projection.pdf")
origin()
fontsize(5)
arrow(Point(-1.2 * R, 0), Point(1.2 * R, 0); arrowheadlength=0.1 * R, linewidth=1.0)
arrow(Point(0, 1.2 * R), Point(0, -1.2 * R); arrowheadlength=0.1 * R, linewidth=1.0)
setcolor("black")
text("α", Point(1.22 * R, 0.035 * R))
text("β", Point(-0.04 * R, -1.23 * R))
green_orange = blend(Point(0, -R), Point(0, R), "green", "orange")
setblend(green_orange)
setline(1.0)
circle(Point(0, 0), R, :stroke)
setcolor("red")
setline(0.5)
line(Point(1.05 * R, 0), Point(0.95 * R, 0), :stroke)
setcolor("cyan3")
line(Point(-1.05 * R, 0), Point(-0.95 * R, 0), :stroke)
setcolor("blue")
for pp in (Ap, Bp)
circle(R * pp, particle_radius, :fill)
end
text("A", 1.07 * R * Ap)
text("B", 1.14 * R * Bp)
setcolor("black")
setdash("dot")
line(R * Ap, R * Bp, :stroke)
line(Point(0, 0), COMp, :stroke)
setcolor("purple1")
circle(M, particle_radius, :fill)
text("COM'", 0.019 * R * M + R * Point(0.0, -0.04))
setcolor("brown")
circle(COMp, particle_radius, :fill)
text("COM", 0.029 * R * COMp)
finish()
return nothing
end