 |
 |
|
|
| |
Blocks and center of gravity
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!
Rules :
- 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 ?
|
|