Motion of an object with constant velocity in a rotating frame

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from __future__ import division, print_function
from ivisual import *
from math import *


    

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scene=canvas("Particle on Rotating Turntable")

R=10
x0=5
y0=0
Omega=1
vx0=-2.5
vy0=-2.5
v=vector(vx0,vy0,0)
r=vector(x0,y0,0)

table=cylinder(pos=vector(0,0,-1), axis=vector(0,0,1), radius=R, color=color.red)
particle=sphere(pos=r, radius=R/20, color=color.yellow, make_trail=True, retain=1000)

t=0
dt=0.01

while t<10:
    rate(100)
    
    x=cos(Omega*t)*(x0+vx0*t)+t*(vy0+Omega*x0)*sin(Omega*t)
    y=-sin(Omega*t)*(x0+vx0*t)+t*(vy0+Omega*x0)*cos(Omega*t)
    r=vector(x,y,0)
    particle.pos=r
    
    t=t+dt


    

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