Creating your first project – the Pendulum example

Let's create an openFrameworks project, which draws a moving pendulum in 2D, consisting of a ball dangled on a rubber segment. The example is based on the emptyExample project in openFrameworks. Perform the following steps to create the project:

  1. Copy the emptyExample project's folder into the folder intended for holding your applications (like apps/myApps), and rename it to Pendulum.
  2. Go inside the Pendulum folder and open this project in your development environment (emptyExample.sln for Visual Studio, emptyExample.xcodeproj for Xcode, or emptyExample.workspace for Code::Blocks).
  3. Open the file testApp.h in the development environment, and in the testApp class declaration add the declarations for the pendulum's center of suspension and the ball's position and velocity:
    ofPoint pos0;        //Center of suspension
ofPoint pos;         //Ball's position
ofPoint velocity;    //Ball's velocity

    Here ofPoint is the openFrameworks' class for holding point coordinates, it has x and y members (we will study it in Chapter 2, Drawing in 2D).

  4. Open the file testApp.cpp, and fill the body of the testApp::setup() function definition:
    void testApp::setup(){
  //Set screen frame rate
  ofSetFrameRate( 60 );

  //Set initial values
  pos0 = ofPoint( 512, 300 );
  pos = ofPoint( 600, 200 );
  velocity = ofPoint( 100, 0 );
}

    In this function we set the frame rate to 60 frames per second, and we also set initial values for all three points.

  5. Now fill the body of the testApp::update() function definition:
    void testApp::update(){
  //Constants
  float dt = 1.0 / 60.0;         //Time step
  float mass = 0.1;              //Mass of a ball
  float rubberLen = 200.0;       //Segment's length
  float k = 0.5;                 //Segment's stiffness
  ofPoint g( 0.0, 9.8 );         //Gravity force

  //Compute Hooke's force
  ofPoint delta = pos - pos0;
  float len = delta.length();   //Vector's length
  float hookeValue = k * (len - rubberLen);
  delta.normalize();            //Normalize vector's length
  ofPoint hookeForce = delta * (-hookeValue);

  //Update velocity and pos
  ofPoint force = hookeForce + g;  //Resulted force
  ofPoint a = force / mass;        //Second Newton's law
  velocity += a * dt;              //Euler method
  pos += velocity * dt;            //Euler method
}

    This function updates velocity and pos, using Newton's second law and the Euler method. For such a purpose, we compute the force acting on a ball as a sum of Hooke's force between the ball, suspension point, and gravity force.

    Tip

    The details on the Euler method can be seen in the Defining the particle functions section in Chapter 3, Building a Simple Particle System. The information on the Newton's second law, Hooke's force, and gravity force can be seen at the following links:

  6. Finally, fill the body of the testApp::draw() function definition:
    void testApp::draw(){
  //Set white background
  ofBackground( 255, 255, 255 );  

  //Draw rubber as a blue line
  ofSetColor( 0, 0, 255 );                 //Set blue color
  ofLine( pos0.x, pos0.y, pos.x, pos.y );  //Draw line

  //Draw ball as a red circle
  ofSetColor( 255, 0, 0 );                 //Set red color
  ofFill();                                //Enable filling
  ofCircle( pos.x, pos.y, 20 );            //Draw circle
}

    Here we set a white background, draw a rubber as a blue line from pos0 to pos, and also draw a ball as a red circle. Note that we use the ofFill() function, which enables openFrameworks' mode to draw filled primitives (circles, rectangles, and triangles). See more details on these drawing functions in Chapter 2, Drawing in 2D.

  7. Run the project. You will see the animation of a moving ball:
    Creating your first project – the Pendulum example

Play with numerical values in the setup() and update() functions and see how it affects the dynamics of the pendulum.

..................Content has been hidden....................

You can't read the all page of ebook, please click here login for view all page.
Reset