This is a home work problem shown in many Fundamental Physics textbooks .
- How to stack four uniform blocks on top of a table,
- so that they extend as far right as possible and still remain stable.
- How should each be positioned?
- Can the top block have its entire length beyond the edge of the table.
- Would you like to play!
So long as the center of gravity is directly above some point
within area of support, the system will be stable
- You can drag and move blocks horizontal with your mouse.
- The stability of the sub-system is color coded
- Green: the sub-system is in stable equilibrium
- yellow: the center of gravity is right above the edge of the supporting block.
- red: the sub-system is unstable, it will fall in real life.
- The center of gravity for each block is shown as a small blue dot.
- If you press "Show c.g." button
- The center of gravity for the blocks being moved will be shown as a small circle.
- The length of the arrow is proportional to the gravitational force for each balanced sub-system.
- Label of this button change to "Hide c.g", and you know what it means.
- Current mouse position is shown in the "Text Field" (relative to top left edge of the table)
- The percentage to the max. distance is shown on right edge of top block. It will smile when you get 100%
- All the other numbers are coordinates measured from the left edge of the current window and they are all color coded.
|The left edge of each block under the number|
|The center of gravity of each block the number is in|
|The center of gravity for all the blocks above the number|
How to make it better? Do I need to make blocks falling down if it is unstable?
Will it help the students learn more about the concept of center of gravity ?