spring, oscillation and stuff...

kostino

Hi all,
I have a question concerning physics in the most part.
I have modelled a spring after this funcrion (Hooke's Law): F = k * X
http://en.wikipedia.org/wiki/Hooke's_law
here is the code:

float force = 0;
float accel = 0;
float speed = 5;
float posMid = 300;
float pos = 300;
float x;
float mass = 1000;
float k = 1;
void setup(){
  size(600,600);
  frameRate(60);
}

void draw(){
  background(0);
  x = posMid - pos;
  force = k*x;
  accel = force / mass;
  speed += accel;
  pos += speed;
  stroke(255,0,0);
  line(300,pos,300,posMid);
  noStroke();
  fill(255);
  ellipse(300,pos,10,10);
}

any ideas on how to add friction to the system?,
so that the system slowly stops oscillating...

GoToLoop

I dunno either! You gotta w8 for some1 w/ physics knowledge here! :(
Here's my sorry attempt: :@)

// forum.processing.org/two/discussion/2868/
// spring-oscillation-and-stuff-

float force, accel, speed = 5;
float y, cx, cy;

static final float K = 1, DIM = 10;
static final float MASS = 1e3, FRICTION = .75;

void setup() {
  size(600, 600);
  fill(-1);

  cx = width >> 1;
  y = cy = height >> 1;
}

void draw() {
  update();
  clear();

  stroke(#FF0000);
  line(cx, y, cx, cy);

  noStroke();
  ellipse(cx, y, DIM, DIM);
}

void update() {
  force = (cy - y) * K;
  accel = force / MASS * FRICTION;

  y += speed += accel;
}

colouredmirrorball

Friction is proportional to the velocity (sometimes as velocity squared, depending on the situation), so just subtract that from the force:

float force = 0;
float accel = 0;
float speed = 5;
float posMid = 300;
float pos = 300;
float x;
float mass = 1000;
float k = 1;
float drag = 3;
void setup() {
  size(600, 600);
  frameRate(60);
}

void draw() {
  background(0);
  x = posMid - pos;
  force = k*x - drag*speed;
  accel = force / mass;
  speed += accel;
  pos += speed;
  stroke(255, 0, 0);
  line(300, pos, 300, posMid);
  noStroke();
  fill(255);
  ellipse(300, pos, 10, 10);
}

kostino

It's been a long time, I had forgotten about this thread. Thanks after all. :)