Basic
Mechanics Lesson
Instructor:
Master Aligore
Sunday,
December 6, 1998
Aligore
says, "I'm taking it you are here for something other than
my company alone?"
Agrajag
nods, "I was hopeing for a lesson"
Aligore
says, "A lesson, eh? I think I could manage a bit
of time for that. What subject are you interested in today?"
L'ars
walks up from the Reception Hall.
Agrajag
ponders for a moment, "Mechanics might be nice"
Aligore
takes a momentary step back in suprise, "L'ars? My
goodness."
Aligore
says, "You're just in time for a lesson on Mechanics, L'ars.
If you would care to join us."
L'ars
grins. "Aligore.." He tugs at his jacket. Not /quite/
as cold here. "I'd love too."
Agrajag
looks back for a second at the unknown rider, then turns back
to the Master.
Aligore
says, "So Mechanics it is. Lets start with the fundamental
tool of mechanics, the Wheel. And incidentally, this is
L'ars, a former smith who sought his dreams a'back instead."
Aligore
says, "Are we all ready then?"
L'ars
nods to Agrajag. "Lo."
Agrajag
gives a polite nod to L'ars, "I'm Agrajag," he then
takes and seat, "I'm ready"
Aligore
says, "Well, the wheel is an ancient invention and as ancient
as it is, it hasn't changed much."
Aligore
says, "Its a very simple tool used for just about everything
we do."
Aligore
says, "Lets look at some examples of what it does for us
and we'll see how it applies to mechanics."
Agrajag
nods and waits for Aligore to bring out the examples.
Aligore
says, "This, " he points to a box of wood "is
a box. Its not very useful for moving things, but it can
hold them very well. Add a wheel to it though, and some
handles of course, and you have a wheel barrow. A very
useful tool for both holding things and for moving things"
Agrajag
nods, he's used wheel barrows before, it makes perfect sense.
Aligore
says, "With a bigger box, and four wheels, you have a cart.
Carts are seen everywhere and are used in just about everything
we do, even here. Moving supplies, loading items for the
forge, the anvils, etc."
Aligore
says, "Now, the wheel by itself is great, but its only good
for some tasks. It lacks a sort of connection to everything
else."
Aligore
says, "So, lets use something to connect it.
A simple band will do. Now connect two wheels inside of
a band, and for every rotation one wheel makes, the other wheel
makes one rotation."
Agrajag
thinks about it for a second, then asks, "what if the band
breaks?"
Agrajag
says, "or slips?"
Aligore
says, "Thats another part of the lesson, we'll assume for
now it doesn't break."
Aligore
says, "So we have 2 wheels attached of equal size and they
have the same ratio of turning. 1 to 1 we'll call it.
So, you take a wheel 2 times the circumference of the other wheel.
The circumference is the measure of the outside of the wheel,
along its edge."
Aligore
says, "This would have a ratio of 2 to 1. For every
rotation the larger wheel has, the smaller wheel will rotate
2 times."
Aligore
says, "So, now, as Agrajag has pointed out, what if the
band breaks? Well, then no work will be done. This
is a big problem. So how do we over come this problem.
Its simple enough to replace a band, but it will continue to
break."
Aligore
says, "Here is a simple solution to the problem. We
give each wheel teeth. The problem with this is, if we
have two wheels that touch each other, they work in opposite
directions. So, we'll need to add a third wheel in order
for things to go correctly in the same direction."
Aligore
says, "These teeth that we use are called cogs."
Aligore
says, "the advantage of cogs over bands is not quite as
obvious as it might appear"
Agrajag
says, "They're not as likely to slip."
Aligore
says, "lets say you need to drill down. You could
have a large wheel on the left and a small wheel with a bit attached
to it on the right. "
Aligore
says, "No, you're not as likely to slip, but there is more
than just the slipping as far as advantages are concerned."
Agrajag
stays quiet and listens for that other advantages because he
can't think of them.
Aligore
says, "so, the large wheel spins, causing the smaller wheel
to spin, causing the drill bit to drill down. This isn't
getting us very far, as we have two wheels that are on the same
plane as one antoher. They are on the same flat surface,
and its making the work very difficult."
Aligore
says, "we're using these to make life simpler, not more
complicated. So, with the bands these wheels have to be
'in-plane,' but with cogs, the can be rotated 90 degrees, or
45 degrees or anything in between, applying the same amount of
force, but at an much more useful angle."
Aligore
says, "we have wheels, we have bands, we have cogs.
We can do a lot of work, but the work has to be done fairly close
together."
Agrajag
nods, trying to take all this information in.
Aligore
says, "Are there any questions on this? As this is
my specialty, I tend to race through it."
Agrajag
says, "where do we usually use cogs?"
Aligore
says, "Well, in here, in just about any place we need to
do work. Mills, especially."
Aligore
says, "This wood lathe, for turning out bed posts and other
such items uses both bands and cogs. It depends on the
amount of work that needs to be done, as tot he size of the cog
used."
Aligore
says, "So, we have wheels, cogs and bands being used in
close quarters, but we need to move things a little farther away.
What can we use to move the work farther away from the source?"
Agrajag
thinks for a moment, then comes up with an answer, "a pole
with a cog on each end?"
Aligore
says, "Very good! A shaft! A shaft will connect
two cogs of equal or differeing size, aloowing the work to be
moved from one location to another."
Aligore
says, "This is one of the concepts that allows a mill to
work."
Aligore
says, "Now, comes the next item. We humans, being
what we are, can only power something for a short period of time
before we become tired. We need something else to help
us get going. Something else to help the tools we use to
get going."
Aligore
says, "What can we use, that is in plentiful supply, that
will allow the work we need to be done without doing it ourselves?"
Aligore
says, "There are two very plentiful sources around here."
Aligore
says, "Well, we have both wind mills and water mills, so
those would be the two sources."
Agrajag
nods, "I was about to say that"
Aligore
says, "Good, so now what happens if the wind dies down or
the water flow is stopped temperarily."
Darman
strides up from the Reception Hall.
Agrajag
says, "it'll stop working"
Aligore
says, "Right, so we neeed a way to keep the wheels spinning
when there is a lull. Water Mills wont have the problem
as much as wind mills might."
Aligore
says, "So, which is harder to stop, a small dog or a big
dog?"
Darman
says, "Depends on the trajectory"
Agrajag
says, "A big dog.. would we use a big cog?"
Jarbidge
blinks in from ::between::!
Aligore
says, "You could use a larger cog wheel, but then, there
is a limit to the amount of room you have. Which is harder
to catch, a ball of stone or a ball of wood? Assuming of
course they are the same size and following the same trajectory."
Agrajag
smiles, "a stone, so we make the cog out of something heavy"
Darman
looks up at the flit
Jarbidge
twitters at darman and flips his wings as he finds a perch.
Darman
says, "If you'll all excuse me. That flit is from
Grinstead. It seems I am needed. "
Darman
says, "I'll be back as soon as I can"
Aligore
says, "Exactly. The heavier an object is, the harder
it is to stop. So if we had a heavy wheel that was turning,
and there was a lull in the wind, , it would continue to turn
for a while."
Darman
nods to all and heads out
Darman
strides down the wide stone staircase into the Reception Hallway.
Jarbidge
glides down the wide stone staircase into the Reception Hallway.
Aligore
says, "This is the concept behind a fly wheel. A fly
wheel is a device that is very dense and will continue to spin
long after you have stopped apply momentum to it."
Aligore
says, "Its pretty much just another wheel, but its more
useful than an ordinary wheel."
Aligore
says, "To review, we've used wheels to move things easier,
bands to make wheels more useful together, cogs on wheels to
keep them from slipping and to add the ability to have then at
odd angles, shafts to move the work away from the center, wind
and water to make mills that are in relatively constant motion,
and heavy round slabs of stone to keep the movement going during
a lull."
Aligore
says, "Are there any final questions or comments?"
Agrajag
thinks a moment, then shakes his head, "I don't have any"
Aligore
says, "If you come up with any, feel free to ask them later"
Agrajag
says, "I will be sure to."
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