MadSci Network: Physics
Query:

Re: Why do taller things balance easier than shorter things?

Date: Wed Sep 8 15:34:10 1999
Posted By: Avra Brahma, Grad student, AE/ME
Area of science: Physics
ID: 935608189.Ph
Message:

Think about a pendulum, with a solid rod connecting the bob instead of a 
string. Shorter the pendulum is, the faster it swings to and fro. That is, 
it has a lower time period of oscillation or a higher natural frequency. 

Now, think of inverted pendulums (pivoted at the bottom). Their time 
periods are going to show the  same behaviour (longer, slower), but this 
time it is unstable, as opposed to an upright one which always tends to 
seek its equilibrium position.

Your markers are like inverted pendulums, with the fingertip as the pivot.A 
slower one will give you more time for the reflexes you have, and that's 
why its easier to balance a longer one.

There are deeper issues here, which are advanced for you. However, you 
should remember this question, because it is an excellent way to learn
about control systems and stability theory, which someday you might need
(much later).



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