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Copy pathD59P1P2.py
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D59P1P2.py
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from manimlib.imports import *
class D59P1(Scene):
def construct(self):
author = TextMobject("Made By Stanley Jian")
self.play(Write(author))
self.wait()
manim = TextMobject("With Manim")
manim.shift(np.array((0,-1/3,0))).scale(0.75)
author.generate_target().shift(np.array((0,1/3,0)))
self.play(MoveToTarget(author),Write(manim))
self.wait()
title = TextMobject("Day 59 Problem 1",background_stroke_width=0)
self.play(ReplacementTransform(VGroup(author,manim),title))
self.wait()
title.generate_target().scale(0.85).to_edge(UP,MED_SMALL_BUFF)
self.play(MoveToTarget(title))
self.wait()
wheel = Circle(radius=2).set_color(WHITE)
framework = VGroup(Line(start=ORIGIN,end=np.array((0,-12/5,0))),
Line(start=np.array((-1,-12/5,0)),end=np.array((1,-12/5,0))),
Line(start=np.array((-1,-12/5,0)),end=np.array((0,-2,0))),
Line(start=np.array((1,-12/5,0)),end=np.array((0,-2,0))))
VGroup(wheel,framework).shift(np.array((0,1/5,0)))
self.play(ShowCreation(VGroup(wheel,framework)))
self.wait()
player = Dot(point=np.array((0,-9/5,0)))
self.play(ShowCreation(player))
self.wait()
self.play(FocusOn(player))
self.wait()
self.play(Rotate(player,angle=7/3*np.pi,about_point=np.array((0,1/5,0)),run_time=5))
self.wait()
player2 = player.deepcopy().set_color("#F40552")
self.play(ShowCreation(player2))
self.wait()
playerL = TextMobject("Player").scale(0.7).to_edge(UP+LEFT).set_color("#F40552")
player3 = player2.deepcopy()
self.add(player3)
self.play(ApplyMethod(player3.next_to,playerL))
self.wait()
self.play(Write(playerL))
self.wait()
lowest = Line(start=np.array((0,-2,0)),end=np.array((0,-12/5,0))).set_color("#BAF1A1").shift(np.array((0,1/5,0)))
self.play(ShowCreation(lowest))
self.wait()
lowestL = TextMobject("1m").set_color("#BAF1A1").next_to(playerL,direction=DOWN).align_to(playerL,direction=LEFT).scale(0.7)
lowest2 = lowest.deepcopy()
self.add(lowest2)
lowest2.generate_target().rotate(np.pi/2,about_point=np.array((0,-2,0))).next_to(lowestL)
self.play(MoveToTarget(lowest2))
self.wait()
self.play(Write(lowestL))
self.wait()
radius = DashedLine(start=np.array((0,1/5,0)),end=player.get_arc_center())
radiusL = TextMobject("5m").scale(0.7).next_to(lowestL,direction=DOWN).align_to(lowestL,direction=LEFT).set_color("#FA744F")
radius2 = radius.deepcopy().set_color("#FA744F")
radius3 = radius2.deepcopy()
self.play(ShowCreation(radius))
self.wait()
self.play(ShowCreation(radius2))
self.wait()
self.add(radius3)
radius3.generate_target().rotate(1/6*np.pi,about_point=np.array((0,1/5,0))).next_to(radiusL)
self.play(MoveToTarget(radius3))
self.play(Write(radiusL))
self.wait()
center = Arc(start_angle=3/2*np.pi,angle=1/3*np.pi,radius=1/3,arc_center=np.array((0,1/5,0)))
self.play(GrowFromCenter(center))
self.wait()
center2 = center.deepcopy().set_color("#FFE277")
self.play(GrowFromCenter(center2))
self.wait()
centerL = TexMobject("t\\si{\\degree}").scale(0.7).next_to(radiusL,direction=DOWN).align_to(radiusL,direction=LEFT).set_color("#FFE277")
centerT = TexMobject("(V_{Rot}=1\\si{\\degree}\\slash s,T_{Rot}=ts)").scale(0.5).next_to(centerL,direction=DOWN).align_to(centerL,direction=LEFT).set_color("#F8E1F4")
center3 = center2.deepcopy()
center3.generate_target().rotate(5/6*np.pi,about_point=np.array((0,1/5,0))).next_to(centerL)
self.play(MoveToTarget(center3))
self.wait()
self.play(Write(centerL))
self.wait()
self.play(Write(centerT))
altitude = DashedLine(start=player.get_arc_center(),end=np.array((0,-4/5,0)))
perpendicular = VGroup(Line(start=np.array((0,-3/5,0)),end=np.array((1/5,-3/5,0))),
Line(start=np.array((1/5,-3/5,0)),end=np.array((1/5,-4/5,0))))
self.play(ShowCreation(altitude))
self.wait()
self.play(FadeIn(perpendicular))
self.wait()
projection = Line(start=np.array((0,1/5,0)),end=np.array((0,-4/5,0))).set_color("#0779E4")
self.play(ShowCreation(projection))
self.wait()
projectionL = TexMobject("5cos(t\\si{\\degree})m").set_color("#0779E4").scale(0.7).next_to(centerT,direction=DOWN).align_to(centerT,direction=LEFT)
projection2 = projection.deepcopy()
self.add(projection2)
projection2.generate_target().rotate(1/2*np.pi,about_point=np.array((0,1/5,0))).next_to(projectionL)
self.play(MoveToTarget(projection2))
self.wait()
self.play(Write(projectionL))
self.wait()
dist = Line(start=np.array((0,-4/5,0)),end=np.array((0,-11/5,0))).set_color("#EFA8E4")
self.play(ShowCreation(dist))
self.wait()
self.remove(radius)
radius4 = radius2.deepcopy()
self.add(radius4)
self.play(Rotate(radius4,angle=-1/3*np.pi,about_point=np.array((0,1/5,0)),run_time=2))
self.wait()
self.play(Rotate(radius4,angle=1/3*np.pi,about_point=np.array((0,1/5,0)),run_time=2))
self.wait()
plus = TexMobject("+").set_opacity(0)
minus = TexMobject("-").set_opacity(0)
equal = TexMobject("=").set_opacity(0)
plus2 = plus.deepcopy().set_opacity(0)
minus2 = minus.deepcopy().set_opacity(0)
equal2 = equal.deepcopy().set_opacity(0)
distL = TexMobject("[6-5cos(t\\si{\\degree})]m").set_color("#EFA8E4").set_opacity(0).scale(0.7)
group1 = VGroup(lowest2,plus,radius3,minus,projection2,equal,dist)
group2 = VGroup(lowestL,plus2,radiusL,minus2,projectionL,equal2,distL)
self.play(*[ApplyMethod(segment.rotate_in_place,1/2*np.pi) for segment in [lowest2,radius3,projection2]],
FadeOutAndShiftDown(VGroup(lowest,radius4,wheel,framework,playerL,player2,player3,centerL,centerT,center2,center3,center,altitude,perpendicular,player,radius2,projection)))
self.play(ApplyMethod(group1.arrange,RIGHT,True,np.array((0,(minus.get_height()*16+DEFAULT_MOBJECT_TO_MOBJECT_BUFFER)/2,0))),
ApplyMethod(group2.arrange,RIGHT,True,np.array((0,-(2.5+DEFAULT_MOBJECT_TO_MOBJECT_BUFFER)/2,0))))
self.wait()
group3 = VGroup(*[item.deepcopy().set_opacity(1) for item in [plus,minus,equal,plus2,minus2,equal2]])
self.play(*[Write(symbol) for symbol in group3])
self.wait()
distL2 = distL.deepcopy().set_opacity(1)
self.play(Write(distL2))
self.wait()
box = SurroundingRectangle(distL2)
self.play(ShowCreationThenDestruction(box))
self.wait()
self.play(FadeOutAndShift(VGroup(group1,group2,group3,distL2)))
self.wait()
title.generate_target().scale(20/17).center()
self.play(MoveToTarget(title))
self.wait()
newtitle = TextMobject("Day 59 Problem 2",background_stroke_width=0)
self.play(ReplacementTransform(title,newtitle))
self.wait()
newtitle.generate_target().scale(0.85).to_edge(UP,MED_SMALL_BUFF)
self.play(MoveToTarget(newtitle))
self.wait()
class D59P2(GraphScene):
CONFIG = {
"x_max" : 34,
"x_min" : 0,
"x_axis_width": 12,
"x_tick_frequency" : 2*np.pi,
"x_axis_label" : "t",
"y_max" : 20,
"y_min" : 0,
"y_axis_height": 6,
"y_tick_frequency" : 2,
"y_axis_label" : "f(t)",
"axes_color" : WHITE,
"graph_origin": 3 * DOWN + 6 * LEFT,
"area_opacity": 0.8
}
def construct(self):
title = TextMobject("Day 59 Problem 2",background_stroke_width=0).scale(0.85).to_edge(UP,MED_SMALL_BUFF)
self.add(title)
def defaultFunc1():
return lambda x : 6-5*np.cos(x)
def defaultFunc2():
return lambda x : 6+5*np.cos(x)
GraphScene.setup_axes(self)
self.x_axis.label_direction = DOWN
self.y_axis.label_direction = LEFT
xLabelPos = range(2,12,2)
xLabel = [str(num)+"\\pi" for num in xLabelPos]
for p,l in zip(xLabelPos,xLabel):
self.x_axis.add(TexMobject(l).scale(0.7).next_to(self.coords_to_point(p*np.pi,0),DOWN))
for num in range(2,22,2):
self.y_axis.add(TexMobject(str(num)).scale(0.7).next_to(self.coords_to_point(0,num),LEFT))
self.x_axis_label_mob.shift(np.array((1.1,-0.35,0))).scale(0.7)
self.y_axis_label_mob.shift(np.array((-0.5,0.2,0))).scale(0.7)
self.play(Write(self.x_axis,run_time=4),Write(self.y_axis,run_time=3))
self.wait()
graph = self.get_graph(defaultFunc1(),color="#FF862F")
graphT = TexMobject("f(t)=6-5cos(t)").next_to(graph,direction=UP).shift(np.array((0,0.5,0))).scale(0.7)
self.play(Write(graphT),ShowCreation(graph,run_time=5))
self.wait()
dot = Dot(self.coords_to_point(0,1))
lineV = Line(start=self.coords_to_point(0,1),end=self.coords_to_point(0,0),stroke_width=2)
lineH = Line(start=self.coords_to_point(0,1),end=self.coords_to_point(0,1.001),stroke_width=2)
dotY = Dot(self.coords_to_point(0,1)).set_color("#F2ED6F")
dotY2 = Dot().set_color("#F2ED6F").next_to(graphT,buff=LARGE_BUFF*1.5).shift(np.array((-1.75,0,0)))
dotYT = TexMobject("=").next_to(dotY2).scale(0.75)
dotN = DecimalNumber(1).next_to(dotYT).scale(0.75)
self.play(ShowCreation(VGroup(dot,lineV,lineH)))
self.wait()
self.play(ApplyMethod(graphT.shift,np.array((-1.75,0,0))),ShowCreation(VGroup(dotY,dotY2)))
self.wait()
self.play(Write(VGroup(dotYT,dotN)))
self.wait()
def updateH():
return lambda m : m.put_start_and_end_on(dot.get_arc_center(),self.coords_to_point(0,self.point_to_coords(dot.get_arc_center())[1]))
def updateV():
return lambda m : m.put_start_and_end_on(dot.get_arc_center(),self.coords_to_point(self.point_to_coords(dot.get_arc_center())[0],0))
def updateY():
return lambda m : m.move_arc_center_to(self.coords_to_point(0,self.point_to_coords(dot.get_arc_center())[1]))
def updateN():
return lambda n : self.point_to_coords(dot.get_arc_center())[1]
self.play(MoveAlongPath(dot,graph,run_time=15),
UpdateFromFunc(lineH,updateH()),
UpdateFromFunc(lineV,updateV()),
UpdateFromFunc(dotY,updateY()),
ChangingDecimal(dotN,updateN()))
self.wait()
newGraphT = TexMobject("f(t)=6+5cos(t)").scale(0.7).move_to(graphT)
newGraph = self.get_graph(defaultFunc2(),color="#BAF1A1")
self.play(ReplacementTransform(graph,newGraph,run_time=3),
ReplacementTransform(graphT,newGraphT,run_time=3),
ApplyMethod(dot.move_to,self.coords_to_point(0,11.001),run_time=3),
UpdateFromFunc(lineH,updateH()),
UpdateFromFunc(lineV,updateV()),
UpdateFromFunc(dotY,updateY()),
ChangingDecimal(dotN,updateN()))
self.wait()
self.bring_to_back(newGraph)
self.play(MoveAlongPath(dot,graph,run_time=15),
UpdateFromFunc(lineH,updateH()),
UpdateFromFunc(lineV,updateV()),
UpdateFromFunc(dotY,updateY()),
ChangingDecimal(dotN,updateN()))
self.wait()
self.play(FadeOutAndShift(VGroup(dot,newGraph,newGraphT,dotY,dotY2,dotYT,dotN,lineH,lineV,self.x_axis,self.y_axis)))
self.wait()
conclusion1 = TextMobject("f(t)=6-5cos(t) is a ride starting at the bottom.").scale(0.6)
conclusion2 = TextMobject("f(t)=6+5cos(t) is a ride starting at the top.").scale(0.6)
conclusion2.next_to(conclusion1,direction=DOWN)
VGroup(conclusion1,conclusion2).center()
self.play(Write(conclusion1))
self.wait()
self.play(Write(conclusion2))
self.wait()
box = SurroundingRectangle(VGroup(conclusion1,conclusion2))
self.play(ShowCreationThenDestruction(box))
self.wait()
self.play(FadeOutAndShift(VGroup(conclusion1,conclusion2)))
self.wait()
ending = TextMobject("Thanks for watching!")
self.play(Write(ending))
self.wait()
box = SurroundingRectangle(ending)
self.play(ShowCreationThenDestruction(box))
self.wait()
self.play(FadeOutAndShift(VGroup(ending,title)))
self.wait()