Key Leads and Inertia

Stephen Birkett sbirkett@real.uwaterloo.ca
Wed, 30 Apr 2003 02:29:43 -0400


Richard Brekne commented:
>Thirdly.... aside from a basic rule of thumbs as to what the general dynamics
>affect of key lead amounts and placement, how does this detract from the
>equation based static balance approach to action balancing ?. Static balancing
>is easy, and can yeild various sorts of eveness in as much as FW can be
>accomplished in several ways. If we simply know some general consequences for
>various configurations of key leading... those can be made to conform to just
>about any given FW specification easily enough... or what ?

Balancing inertial properties across a keyboard is not much more 
difficult to accomplish than static balancing using touchweights. You 
have two independent parameters to adjust in the key instead of 
one...the only practical limitation is that you cannot use 
pre-defined lead weights and simply stick them in the key where the 
desired balance is obtained. You have to be able to adjust both the 
mass of the lead and its location separately.

and Bill Ballard commented:
>Stephen Birkett answered quite neatly that the same counterbalancing 
>lead moved from under the finger at the front towards the key's 
>fulcrum, yields more acceleration for the same size blow. Maybe he 
>can answer this next question: if two keys of identical static 
>balancing yet different placement and masses of lead do yield 
>different accelerations for the same blow, what does that graph look 
>like?
>Anyone else willing to send Stephen a box of chocolate chip cookies 
>for a picture of this? I am.

Well...actually oatmeal chocolate chip cookies are my preference....

I've inserted a few extra slides into the set previously referred to 
here <http://real.uwaterloo.ca/~sbirkett/inertia.pdf> to cover the 
general case and how static and dynamic balancing can be done 
simultaneously. It isn't really all that mysterious.

John's nice little diagrams with the hanging thingie on the string 
remind me of another nice analogy of dribbling the basketball.

Stephen
-- 
Dr Stephen Birkett
Associate Professor
Department of Systems Design Engineering
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1

Davis Building Room 2617
tel: 519-888-4567 Ext. 3792
PianoTech Lab Ext. 7115
mailto: sbirkett[at]real.uwaterloo.ca
http://real.uwaterloo.ca/~sbirkett

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