# C++ program to simulate clock with pendulum.

A pendulum is a rod hanging vertically from its top end that swings from side to side due

to the force of gravity. The only thing that affects speed of pendulum swinging is its

length and the strength of gravity. A pendulum works by converting energy back and

forth between potential and kinetic.

Coordinates for clock and pendulum circle, segments, radius and vertex for line segment.

Displaying the clock with pendulum.

1. Start

2. angle=135, inc=1, segments=25, x1=0,y1=0;

3. Calculate theta = 2.0f * 3.14 * (ii / segments);

4. Calculate x and y component:

x = radius * cosf(theta);

y = radius * sinf(theta);

5. angle>225 and angle<135 for movement of line and circle.

6. Draw Circles(x1,y1,angle) of watch

7. Draw line and circle (segments, radius = 2, x1,y1) of pendulum

8. Stop.

to the force of gravity. The only thing that affects speed of pendulum swinging is its

length and the strength of gravity. A pendulum works by converting energy back and

forth between potential and kinetic.

#### Algorithm:

##### Input to the algorithm:

Coordinates for clock and pendulum circle, segments, radius and vertex for line segment.

##### Output of the algorithm:

Displaying the clock with pendulum.

##### Data Variables:

**x1, y1 :**coordinates for clock circle.**x2, y2 :**coordinates for pendulum circle.**segments:**stores the number of segments required for drawing a circle.**radius:**stores radius of circle.**theta:**stores the angle of circle.##### Algorithm for clock with pendulum:

1. Start

2. angle=135, inc=1, segments=25, x1=0,y1=0;

3. Calculate theta = 2.0f * 3.14 * (ii / segments);

4. Calculate x and y component:

x = radius * cosf(theta);

y = radius * sinf(theta);

5. angle>225 and angle<135 for movement of line and circle.

6. Draw Circles(x1,y1,angle) of watch

7. Draw line and circle (segments, radius = 2, x1,y1) of pendulum

8. Stop.

#### Program:

#include <math.h> #include <GL/glut.h> using namespace std; float angle = 135; float inc = 1.0; void drawCircle(float segments, float radius, float sx, float sy) { glBegin(GL_LINE_LOOP); for(int ii = 0; ii < segments; ii++) { float theta = 2.0f * 3.1415926f * float(ii) / float(segments);//get the current angle float x = radius * cosf(theta);//calculate the x component float y = radius * sinf(theta);//calculate the y component glVertex2f(x + sx, y + sy);// vertex of circles } glEnd(); } void drawCircles(float x1,float y1,float angle) { float segments = 25; float radius = 3.0; // Draw the original circle glLineWidth(4); glColor3f(0,1,1); drawCircle(segments,radius,x1,y1); glColor3f(1,0,1); glLineWidth(3); glBegin(GL_LINES); //hour line glVertex2f(x1,y1); glVertex2f(1,1); glEnd(); glColor3f(1,1,0); glLineWidth(1); //time line glBegin(GL_LINES); glVertex2f(x1,y1); glVertex2f(x1,2); glEnd(); // Draw the pendulum circle double radian = angle*3.14/180; float y2 = 10 * cos(radian); float x2 = 10 * sin(radian); radius = 1.0; glColor3f(1,1,1); drawCircle(segments,radius,x2,y2); glBegin(GL_LINES); // vertex of lines glVertex2f(x1,-2.8); glVertex2f(x2,y2); glEnd(); } void display(void) { glClearColor (0.0,0.0,0.0,1.0); glClear (GL_COLOR_BUFFER_BIT); glLoadIdentity(); glTranslatef(-10,0,-30); glColor3f(1,1,1); if (angle>225) { angle = 225; inc = -inc; } if (angle<135) { angle = 135; inc = -inc; } angle += inc; drawCircles(0,0,angle); glutSwapBuffers(); } void reshape (int w, int h) { glMatrixMode (GL_PROJECTION); //maps camera to screen glLoadIdentity (); gluPerspective (100, (GLfloat)w / (GLfloat)h, 0.5, 100.0); glMatrixMode (GL_MODELVIEW); // maps objects to local coordinates } int main (int argc, char **argv) { glutInit (&argc, argv); glutInitDisplayMode (GLUT_DOUBLE); //double buffered bit-mask glutInitWindowSize (800, 600); glutInitWindowPosition (0, 0); glutCreateWindow ("A Pendulum"); glutDisplayFunc (display); glutIdleFunc (display); glutReshapeFunc (reshape); glutMainLoop (); return 0; }

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