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<p class=MsoNormal><font size=2 color=navy face=Arial><span =
style='font-size:
10.0pt;font-family:Arial;color:navy'>Thanks for the post =
Sarah:<o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span =
style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span =
style='font-size:
10.0pt;font-family:Arial;color:navy'>The only problem with this part of =
the
analysis is that we are really talking equal acceleration not equal =
force
applied to the key. <span style='mso-spacerun:yes'> </span>Since =
a heavier
hammer would, presumably, have more lead in the key (if the balance =
weight was
the same) then an equal amount of force applied to the key by the finger =
would
net out to the same acceleration of the hammer (flexing and friction =
aside). <span
style='mso-spacerun:yes'> </span>The point being that it’s =
the
acceleration that counts.<span style='mso-spacerun:yes'> =
</span>If the
two hammers are accelerated equally, which is what happens in practice, =
then by
f=ma, the force imparted to the string would be greater with the =
hammer with
more mass. <o:p></o:p></span></font></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span =
style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<div>
<p><font size=2 color=navy face="Times New Roman"><span =
style='font-size:10.0pt;
color:navy;mso-no-proof:yes'>David Love<br>
davidlovepianos@comcast.net </span></font><o:p></o:p></p>
</div>
<p class=MsoNormal style='margin-left:.5in'><font size=2 =
face=Tahoma><span
style='font-size:10.0pt;font-family:Tahoma'>-----Original =
Message-----<br>
<b><span style='font-weight:bold'>From:</span></b> =
pianotech-bounces@ptg.org
[mailto:pianotech-bounces@ptg.org] <b><span =
style='font-weight:bold'>On Behalf
Of </span></b>Sarah Fox<br>
<b><span style='font-weight:bold'>Sent:</span></b> =
</span></font><st1:date
Month="10" Day="2" Year="2004"><font size=2 face=Tahoma><span =
style='font-size:
10.0pt;font-family:Tahoma'>Saturday, October 02, =
2004</span></font></st1:date><font
size=2 face=Tahoma><span =
style='font-size:10.0pt;font-family:Tahoma'> </span></font><st1:time
Hour="9" Minute="23"><font size=2 face=Tahoma><span =
style='font-size:10.0pt;
font-family:Tahoma'>9:23 AM</span></font></st1:time><font size=2 =
face=Tahoma><span
style='font-size:10.0pt;font-family:Tahoma'><br>
<b><span style='font-weight:bold'>To:</span></b> Pianotech<br>
<b><span style='font-weight:bold'>Subject:</span></b> Impulse and =
response</span></font></p>
<p class=MsoNormal style='margin-left:.5in'><span =
class=GramE><font size=3
color=navy face="Times New Roman"><span =
style='font-size:12.0pt;color:navy'>snip</span></font></span><font
color=navy><span =
style='color:navy'>…</span></font><o:p></o:p></p>
<p class=MsoNormal><font size=2 color=navy face=Arial><span =
style='font-size:
10.0pt;font-family:Arial;color:navy'><o:p> </o:p></span></font></p>
<div>
<div>
<p class=MsoNormal style='margin-left:.5in'><font size=2 =
face=Arial><span
style='font-size:10.0pt;font-family:Arial'>Mass of the hammer: =
As
Bernhard alluded, a heavier hammer will move more slowly than a lighter =
hammer,
given the same energy delivered at the key. The collision will =
therefore
be slower, the felt compression will be slower, and so the ramping of =
force
will be slower. A heavier hammer should result, therefore, in a =
darker
sound.<o:p></o:p></span></font></p>
</div>
<div>
<p class=MsoNormal style='margin-left:.5in'><font size=2 =
face=Arial><span
style='font-size:10.0pt;font-family:Arial'> <o:p></o:p></span></fo=
nt></p>
</div>
<div>
<p class=MsoNormal style='margin-left:.5in'><font size=3 =
color=navy
face="Times New Roman"><span =
style='font-size:12.0pt;color:navy'>…</span></font><o:p></o:p></p=
>
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