The layout sheet for the pendulum exercise defines the pivot point of the pendulum, the path on which the center of the ball swings and the farthest the pendulum swings in each direction. What YOU need to determine, is where on the path the ball will be on any given frame. You will mark this sheet up with vertical lines. Where the ball moves faster, the distance between vertical lines will be greater, where the ball moves slower, the distance between vertical lines will be smaller.

In terms of actual physics, what we're about to do is not quite accurate; The following technique is just an approximation of how a balls speed changes when swung as a pendulum.

Once you've drawn all the frames of the ball swinging from one end to the other, draw and animate a face on the ball that clearly changes direction and expression.

Making the "slow in"

1. Along the edge of a piece of paper, use a ruler and make four marks, each 5/8" apart - the total distance between lines should be 2 1/2".
   
2. Using the same steps as you did when you created the slow-in for the ball rolling in, make the same marks on the edge of the piece of paper (see figure below).
   
   

1. Transfer these marks onto the LAYOUT FOR PENDULUM SWING sheet, making the marks on the right half of the bottom of the box (see figure below).
   
   
2. Turning your sheet around appropriately, transfer marks on the other half of the bottom of the box. Do the same for the top of the box, making sure that the marks get closer together on the far right and left sides of the box (see figure below).
   
   
3. Lay a ruler down, aligning it with the marks along the top and bottom of the box, and make a vertical mark where the ruler crosses the path of the pendulum swing (see figure below).
   
   
4. Number the marks, starting from the left end and moving towards the right (see figure below). If you followed the directions correctly, you'll have 24 marks.
   
   

Drawing the Swinging Ball – NOTE PUNCH ALIGNMENT HOLES BEFORE YOU DRAW!

1. Person #1
   • NUMBER A DRAWING SHEET
   • By tracing the layout sheet, draw one dot where the pivot point is
   • Draw another dot where the frame number mark crosses the path of the pendulum. This mark represents the center of the ball.
   • Pass the sheet to person number 2
   • Repeat for the next frame
2. Person #2
   • Make a Refenece Guide for the size of the ball.
   • On a separate sheet of paper draw a ball
   • Mark the center of the ball with an "X" or a plus sign.
   • Take the sheet that person number 1 handed you
   • Tracing the Reference Guide, align the sheets so that the dot for the center of the ball is aligned with the center mark on your reference guide.
   • Draw a circle, tracing the Reference Guide for size.
   • Hand the sheet to person #3
   • Continue to the next drawing until all frames are done
3. Person #3
   Draw a string line by lining up the pivot point dot and the center of the ball dot - ONLY DRAW THE LINE TO THE EDGE OF THE BALL.
   
   
   
   
4. Person #4
   Shade the ball, thinking about the direction that the light source is coming from
5. Person #5
   Help out persons 3 and/or 4 (maybe draw something on the ball)