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
whithin area of support,the system will be stable
- A new window will popup.
- You can drag and move blocks horizontal with your mouse.
- The stablity 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 circil.
- 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 "TextField" (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 ?
I need your suggestions. Please click hwang@phy03.phy.ntnu.edu.tw
Thanks to : Peter
O.B. Mikes, Paul M. Eugenio,
Jolanta Rosick-Blonska, ...
My personal Home Page: http://www.phy.ntnu.edu.tw/~hwang/
Last modified :
URLs link to this page
- http://www.dalton.org/groups/astro/physics/physics.html