Video wird geladen...

Video konnte nicht geladen werden

Beim Laden dieses Videos ist ein Problem aufgetreten. Dies könnte an einem vorübergehenden Netzwerkproblem liegen oder das Video ist möglicherweise nicht verfügbar.

Simple Harmonic Motion visualized from the formula x(t) = A cos(ωt + φ)

Philosophy Of Physics

115,254 subscribers

16,522 Aufrufe • vor 21 Tagen •via X (Twitter)

Anya Rossi• Live Now

Private livecam show

0 Kommentare

Keine Kommentare verfügbar

Kommentare vom Original-Post werden hier angezeigt

Ähnliche Videos

This video looks like a rotating wheel. But watch just one single sphere. It never rotates. Every ball only moves in a perfectly straight line back and forth. This is simple harmonic motion where linear position follows: x = R cos(ωt) By perfectly offsetting the timing of each straight path, the collective motion creates the illusion of rotation.

This video looks like a rotating wheel. But watch just one single sphere. It never rotates. Every ball only moves in a perfectly straight line back and forth. This is simple harmonic motion where linear position follows: x = R cos(ωt) By perfectly offsetting the timing of each straight path, the collective motion creates the illusion of rotation.

Cosmos Archive

24,553 Aufrufe • vor 22 Tagen

This fascinating experiment reveals how simple harmonic motion can be generated from uniform circular motion

This fascinating experiment reveals how simple harmonic motion can be generated from uniform circular motion

Science Simplified

35,511 Aufrufe • vor 18 Tagen

Wave motion visualized

Wave motion visualized

Learn Something

39,425 Aufrufe • vor 1 Jahr

2/11 20:08 Φ∞∞∞∞∞∞Φ MV OUT Φ∞∞∞∞∞∞Φ

2/11 20:08 Φ∞∞∞∞∞∞Φ MV OUT Φ∞∞∞∞∞∞Φ

煮ル果実

425,616 Aufrufe • vor 4 Monaten

1. Spatial Constraints & Magnitude: K(u) = A₁ * cos(u / λ₁) E(v) = (v / λ₂) - δ_offset Distance Driver: D(u,v) = √( K(u)² + E(v)² ) 2. Pulsation Kinematics: Q(u,v,t) = αsin(2K) + (β/K) + sin(v/λ₃) * K * [γ + εsin(ω₁E - ω₂D + ω₃t)] ↳ The (β/K) term creates the asymptotic stretch of the tentacles, while the nested sine waves act as a damped harmonic oscillator for the contraction of the bell. pause - push - pause - push (action) 3. Polar-to-Cartesian Mapping Rotational Phase: θ(u,v,t) = D(u,v) - t X(u,v,t) = Q * cos(θ) * S_x + C_x Y(u,v,t) = Q * sin(θ) + S_y * D - C_y 4. Particle Sizing Filter: Radius = K(u)² > τ ? 2 : 1 Alpha-Blended Buffer: C_final = (1 - ρ) * C_new + ρ * C_buffer (u,v = particle indices, t = continuous time, ρ = retention rate for trails)

1. Spatial Constraints & Magnitude: K(u) = A₁ * cos(u / λ₁) E(v) = (v / λ₂) - δ_offset Distance Driver: D(u,v) = √( K(u)² + E(v)² ) 2. Pulsation Kinematics: Q(u,v,t) = αsin(2K) + (β/K) + sin(v/λ₃) * K * [γ + εsin(ω₁E - ω₂D + ω₃t)] ↳ The (β/K) term creates the asymptotic stretch of the tentacles, while the nested sine waves act as a damped harmonic oscillator for the contraction of the bell. pause - push - pause - push (action) 3. Polar-to-Cartesian Mapping Rotational Phase: θ(u,v,t) = D(u,v) - t X(u,v,t) = Q * cos(θ) * S_x + C_x Y(u,v,t) = Q * sin(θ) + S_y * D - C_y 4. Particle Sizing Filter: Radius = K(u)² > τ ? 2 : 1 Alpha-Blended Buffer: C_final = (1 - ρ) * C_new + ρ * C_buffer (u,v = particle indices, t = continuous time, ρ = retention rate for trails)

Praveen Kumar

12,207 Aufrufe • vor 1 Monat

a=(x,y,d=5*cos(o=mag(k=x/8-25,e=y/8-25)/3.5))=>[(k*atan(3*cos(d*9))+x/2)*cos(c=(d+o)/4-t/8)+200,(k*d*cos(o-d+t)+y/2)*sin(c)+200] t=0,draw=$=>{t||createCanvas(w=400,w);background(6).stroke(255,96);for(t+=PI/60,y=99;y<300;y+=2)for(x=99;++x<300;)point(...a(x,y))} #つぶやきProcessing

a=(x,y,d=5cos(o=mag(k=x/8-25,e=y/8-25)/3.5))=>[(katan(3cos(d9))+x/2)cos(c=(d+o)/4-t/8)+200,(kdcos(o-d+t)+y/2)sin(c)+200] t=0,draw=$=>{t||createCanvas(w=400,w);background(6).stroke(255,96);for(t+=PI/60,y=99;y<300;y+=2)for(x=99;++x<300;)point(...a(x,y))} #つぶやきProcessing

ア

75,799 Aufrufe • vor 1 Jahr

a=(x,y,o=mag(k=x/4-12.5,e=y/9)/9)=>point((q=x+99+cos(9/k)+o*k*(cos(e*9)/3+cos(y/9)/.7)*sin(o*4-t))*.7*sin(c=o*e/30-t/8)+200,200+y/9*cos(c*4-t/2)-q/2*cos(c)) t=0,draw=$=>{t||createCanvas(w=400,w);background(6).stroke(w,46);for(t+=PI/60,i=3e4;i--;)a(i%100,i/150)}#つぶやきProcessing

a=(x,y,o=mag(k=x/4-12.5,e=y/9)/9)=>point((q=x+99+cos(9/k)+ok(cos(e9)/3+cos(y/9)/.7)sin(o4-t)).7sin(c=oe/30-t/8)+200,200+y/9cos(c4-t/2)-q/2*cos(c)) t=0,draw=$=>{t||createCanvas(w=400,w);background(6).stroke(w,46);for(t+=PI/60,i=3e4;i--;)a(i%100,i/150)}#つぶやきProcessing

ア

147,112 Aufrufe • vor 1 Jahr

a=(x,y,k=x/12-12.5,d=abs(cos(k/2)+sin(y/2)*cos(k/5)/2+1))=>point((q=x/4+99+(d+0)*k*(.5+cos(d*2-t+y/8)))*.8*cos(c=y/69-t/8+d/6)+200,q/2*cos(c+d/3+y/69)+200) t=0,draw=$=>{t||createCanvas(w=400,w);background(0).stroke(w,46);for(t+=PI/30,i=4e4;i--;)a(i%300,i/300)}#つぶやきProcessing

a=(x,y,k=x/12-12.5,d=abs(cos(k/2)+sin(y/2)cos(k/5)/2+1))=>point((q=x/4+99+(d+0)k*(.5+cos(d2-t+y/8))).8cos(c=y/69-t/8+d/6)+200,q/2cos(c+d/3+y/69)+200) t=0,draw=$=>{t||createCanvas(w=400,w);background(0).stroke(w,46);for(t+=PI/30,i=4e4;i--;)a(i%300,i/300)}#つぶやきProcessing

ア

17,385 Aufrufe • vor 1 Jahr

a=(x,y,d=mag(k=(4+cos(x/9-t))*cos(x/30),e=y/7-13)+sin(y/99+t/2)-4)=>point((q=3*sin(k*2)+sin(y/29)*k*(9+2*sin(cos(e)*9-d*4+t)))+40*cos(c=d-t)+200,q*sin(c)+d*35) t=0,draw=$=>{t||createCanvas(w=400,w);background(9).stroke(w,96);for(t+=PI/120,i=1e4;i--;)a(i,i/235)}#つぶやきProcessing

a=(x,y,d=mag(k=(4+cos(x/9-t))cos(x/30),e=y/7-13)+sin(y/99+t/2)-4)=>point((q=3sin(k2)+sin(y/29)k*(9+2sin(cos(e)9-d4+t)))+40cos(c=d-t)+200,qsin(c)+d35) t=0,draw=$=>{t||createCanvas(w=400,w);background(9).stroke(w,96);for(t+=PI/120,i=1e4;i--;)a(i,i/235)}#つぶやきProcessing

ア

79,183 Aufrufe • vor 10 Monaten

This Lissajous Machine is straight-up sorcery. Two cranks at 33:37 ratio, linked arms, and x=3cos(33t), y=3sin(37t) weave a perfect lattice from thin air—no pixels, just raw harmonic motion. Trig functions don’t just describe beauty. They are the beauty.

This Lissajous Machine is straight-up sorcery. Two cranks at 33:37 ratio, linked arms, and x=3cos(33t), y=3sin(37t) weave a perfect lattice from thin air—no pixels, just raw harmonic motion. Trig functions don’t just describe beauty. They are the beauty.

Mathematica

23,198 Aufrufe • vor 2 Monaten

Reminder of this simple formula, NOT the only formula, but for simplicity purposes

Reminder of this simple formula, NOT the only formula, but for simplicity purposes

Sculpt Her Body - ABS | GLUTE | YOGA

74,390 Aufrufe • vor 1 Jahr

a=(x,y,k=x/8-12.5,d=abs(cos(k/2)+sin(y/4)))=> point((q=x/4+90+(d+.1)*k*cos(d-t*2+y/24))*.7*cos(c=y/99-t/8+d*d/32)+200,(q+y)*.7*sin(c)+(q-y)/2*cos(c*2)+200) t=0,draw=$=>{t||createCanvas(w=400,w);background(0).stroke(w,36);for(t+=PI/60,i=4e4;i--;)a(i%200,i/300)}#つぶやきProcessing

a=(x,y,k=x/8-12.5,d=abs(cos(k/2)+sin(y/4)))=> point((q=x/4+90+(d+.1)kcos(d-t2+y/24)).7cos(c=y/99-t/8+dd/32)+200,(q+y).7sin(c)+(q-y)/2cos(c2)+200) t=0,draw=$=>{t||createCanvas(w=400,w);background(0).stroke(w,36);for(t+=PI/60,i=4e4;i--;)a(i%200,i/300)}#つぶやきProcessing

ア

25,819 Aufrufe • vor 1 Jahr

a=(x,y,k=x/12-12.5,d=2*abs(cos(k/2)+sin(y/4)+cos(k/8)))=>point((q=x/4+90+(d)*k*cos(d-t*2+y/24))*.7*cos(c=y/79-t/8+d/8)+q/8*sin(c*4)+200,(q)*.7*sin(c)+200) t=0,draw=$=>{t||createCanvas(w=400,w);background(0).stroke(w,36);for(t+=PI/60,i=4e4;i--;)a(i%300,i/300)}//#つぶやきProcessing

a=(x,y,k=x/12-12.5,d=2abs(cos(k/2)+sin(y/4)+cos(k/8)))=>point((q=x/4+90+(d)kcos(d-t2+y/24)).7cos(c=y/79-t/8+d/8)+q/8sin(c4)+200,(q).7sin(c)+200) t=0,draw=$=>{t||createCanvas(w=400,w);background(0).stroke(w,36);for(t+=PI/60,i=4e4;i--;)a(i%300,i/300)}//#つぶやきProcessing

ア

15,336 Aufrufe • vor 1 Jahr

a=(x,y,o=mag(k=x/4-12.5,e=y/9+9)/9)=>point((q=x+39+y+1/k+o*k*(cos(y)/4+cos(e))*sin(o*4-t))*.7*sin(c=o+e/99-t/8+i%2*3)+200,200+y/2*cos(c*4-o)-q/2*cos(c)) t=0,draw=$=>{t||createCanvas(w=400,w);background(6).stroke(w,46);for(t+=PI/60,i=4e4;i--;)a(i/2%100,i/350)}//#つぶやきProcessing

a=(x,y,o=mag(k=x/4-12.5,e=y/9+9)/9)=>point((q=x+39+y+1/k+ok(cos(y)/4+cos(e))sin(o4-t)).7sin(c=o+e/99-t/8+i%23)+200,200+y/2cos(c4-o)-q/2cos(c)) t=0,draw=$=>{t||createCanvas(w=400,w);background(6).stroke(w,46);for(t+=PI/60,i=4e4;i--;)a(i/2%100,i/350)}//#つぶやきProcessing

ア

15,419 Aufrufe • vor 8 Monaten

a=(x,y,d=mag(k=(4+cos(y))*cos(x/4),e=y/8-20))=>point((q=sin(k*3)+sin(y/19+9)*k*(6+sin(e*14-d)))*cos(d/8+t/4)+50*cos(c=d-t)+200,q*sin(c)+d*7*sin(c/4)+200) t=0,draw=$=>{t||createCanvas(w=400,w);background(9).stroke(w,116);for(t+=PI/120,i=1e4;i--;)a(i,i/235)}//#つぶやきProcessing

Sensitive content

a=(x,y,d=mag(k=(4+cos(y))cos(x/4),e=y/8-20))=>point((q=sin(k3)+sin(y/19+9)k(6+sin(e14-d)))cos(d/8+t/4)+50cos(c=d-t)+200,qsin(c)+d7sin(c/4)+200) t=0,draw=$=>{t||createCanvas(w=400,w);background(9).stroke(w,116);for(t+=PI/120,i=1e4;i--;)a(i,i/235)}//#つぶやきProcessing

ア

54,787 Aufrufe • vor 1 Jahr

a=(x,y,k=x/8-12.5,d=cos(k/2)+sin(y/3)-.5)=>point((q=x/4+60+d*k*(1+cos(d*4-t*2+y/14)))*.7*cos(c=y*d/169-t/8+d/9)+200+60*sin(t*3/32+c/4),(q+59)*.7*sin(c)+200) t=0,draw=$=>{t||createCanvas(w=400,w);background(0).stroke(w,36);for(t+=PI/30,i=4e4;i--;)a(i%200,i/400)}#つぶやきProcessing

a=(x,y,k=x/8-12.5,d=cos(k/2)+sin(y/3)-.5)=>point((q=x/4+60+dk(1+cos(d4-t2+y/14))).7cos(c=yd/169-t/8+d/9)+200+60sin(t3/32+c/4),(q+59).7*sin(c)+200) t=0,draw=$=>{t||createCanvas(w=400,w);background(0).stroke(w,36);for(t+=PI/30,i=4e4;i--;)a(i%200,i/400)}#つぶやきProcessing

ア

20,616 Aufrufe • vor 1 Jahr

ปลูกฉันไว้แต่ไม่เคยรดน้ำ t—t ฟินอะ TLEFIRSTONE THE WALL SONG #ร้องข้ามกําแพงxเติ้ลเฟิร์สวัน

ปลูกฉันไว้แต่ไม่เคยรดน้ำ t—t ฟินอะ TLEFIRSTONE THE WALL SONG #ร้องข้ามกําแพงxเติ้ลเฟิร์สวัน

เบบี้นูว 🪿𓈒

15,424 Aufrufe • vor 7 Monaten

t=0,draw=$=>{t||createCanvas(w=400,w);background(6).stroke(255,66);for(t+=PI/60,y=99;y<300;y+=3)for(x=99;++x<300;)o=mag(k=x/8-25,e=y/8-25)/4,point((q=x+y/3+k/cos(y/8)+1/k+o*k*cos(y/8-t)*sin(o*4-t))/3*atan(2*sin(c=o*e/50-t/8))+200,(y*tan(c)+q)/3*cos(c)+200)} //#つぶやきProcessing

t=0,draw=$=>{t||createCanvas(w=400,w);background(6).stroke(255,66);for(t+=PI/60,y=99;y<300;y+=3)for(x=99;++x<300;)o=mag(k=x/8-25,e=y/8-25)/4,point((q=x+y/3+k/cos(y/8)+1/k+okcos(y/8-t)sin(o4-t))/3atan(2sin(c=oe/50-t/8))+200,(ytan(c)+q)/3*cos(c)+200)} //#つぶやきProcessing

ア

50,717 Aufrufe • vor 1 Jahr

ρ(x,t) = |Ψ(x,t)|² 𝘪𝘯𝘥𝘦𝘵𝘦𝘳𝘮𝘪𝘯𝘢𝘵𝘦 𝘴𝘵𝘢𝘵𝘦𝘴

ρ(x,t) = |Ψ(x,t)|² 𝘪𝘯𝘥𝘦𝘵𝘦𝘳𝘮𝘪𝘯𝘢𝘵𝘦 𝘴𝘵𝘢𝘵𝘦𝘴

hal

13,283 Aufrufe • vor 6 Monaten

a=(x,y,d=mag(k=5*cos(x/19)*cos(y/30),e=y/8-12)**2/59+2)=>point((q=4*sin(atan2(k,e)*9)+9*sin(d-t)-k/d*(9+sin(d*9-t*16)*3))+50*cos(c=d*d/7-t)+200,q*sin(c)+d*45-9) t=0,draw=$=>{t||createCanvas(w=400,w);background(9).stroke(w,36);for(t+=PI/240,i=1e4;i--;)a(i,i/41)}#つぶやきProcessing

a=(x,y,d=mag(k=5cos(x/19)cos(y/30),e=y/8-12)**2/59+2)=>point((q=4sin(atan2(k,e)9)+9sin(d-t)-k/d(9+sin(d9-t16)3))+50cos(c=dd/7-t)+200,qsin(c)+d*45-9) t=0,draw=$=>{t||createCanvas(w=400,w);background(9).stroke(w,36);for(t+=PI/240,i=1e4;i--;)a(i,i/41)}#つぶやきProcessing

ア

39,828 Aufrufe • vor 11 Monaten