| Topic: |
Science > Physics |
| User: |
"Donald G. Shead" |
| Date: |
19 Jul 2004 09:41:24 PM |
| Object: |
The real effect of centrifugal force |
Centrifugal force is mistakenly thought to cause a body to fly out of
its circular path; along a tangent direction which represents the
inertial path of Newtons inertial motion.
Actually centrifugal force, when not restrained as by a string or
sling causes a body to flee the center of an evolute radially; along
involutes that remain directed radially away from the center:
Like the sling used by David to slay Goliath; when it is released the
missile travels radially away from the center to points equidistant
along the tangent.; at potentially lethal speeds depending on the
speed it has when it is released from the evolute.
There is nothing fictitious about centrifugal force!
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| User: "Richard Henry" |
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| Title: Re: The real effect of centrifugal force |
19 Jul 2004 10:35:19 PM |
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"Donald G. Shead" <dcshead@charter.net> wrote in message
news:48402bae.0407191841.4715def1@posting.google.com...
Centrifugal force is mistakenly thought to cause a body to fly out of
its circular path; along a tangent direction which represents the
inertial path of Newtons inertial motion.
Actually centrifugal force, when not restrained as by a string or
sling causes a body to flee the center of an evolute radially; along
involutes that remain directed radially away from the center:
Like the sling used by David to slay Goliath; when it is released the
missile travels radially away from the center to points equidistant
along the tangent.; at potentially lethal speeds depending on the
speed it has when it is released from the evolute.
There is nothing fictitious about centrifugal force!
Consider a mass on a string one meter long spinning clockwise around a hub
at one revolution per second. Let's imagine the whole works out in space so
that there is no stray gravity force to com0plicate the question. If the
mass is released from the string as the string passes 12 o'clock, how long
does it take for the involute path to pass the radius at 3 o'clock? At 6
o'clock? at 9 o'clock?
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| User: "Donald G. Shead" |
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| Title: Re: The real effect of centrifugal force |
20 Jul 2004 02:23:59 PM |
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"Richard Henry" <rphenry@home.com> wrote in message news:<1q0Lc.25634$9I.3908@okepread02>...
CUT<
Consider a mass on a string one meter long spinning clockwise around a hub
at one revolution per second. Let's imagine the whole works out in space so
that there is no stray gravity force to com0plicate the question. If the
mass is released from the string as the string passes 12 o'clock, how long
does it take for the involute path to pass the radius at 3 o'clock? At 6
o'clock? at 9 o'clock?
As long as you are in no hurry, and we're just imagining anyway; lets
make the speed one twelfth [1/12] revolution per hour: In one hour [@1
o'clock], after releasing the string at noon [12 o'clock], the mass
will have traveled 1/12 revolution, and be at the intersection of a
tangent and a radial line at one o'clock: In two hours the mass will
have traveled 2/12 revolution, and be at the intersection of a tangent
and a radial line at two o'clock: In three hours the mass will have
traveled 3/12 revolution, and be at the intersection of a tangent and
a radial line at three o'clock: In four hours the mass will have
traveled 4/12 revolution, and be at the intersection of a tangent and
a radial line at four o'clock:
With the whole works out in space, where there is no stray gravity
force to complicate the situation, this will continue into a second
revolution; even into a third, or more; but by 4 or 5 o'clock the
conclusion is evident:
A curved line drawn through the intersections of the tangent lines and
the radial lines is the radial outward path followed by the mass as it
centrifugally flees from the hub to which it was originally attached.
This is the principle by which slings and similar weapons operate.
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| User: "Richard Henry" |
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| Title: Re: The real effect of centrifugal force |
21 Jul 2004 08:15:13 AM |
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"Donald G. Shead" <dcshead@charter.net> wrote in message
news:48402bae.0407201123.3804f2f8@posting.google.com...
"Richard Henry" <rphenry@home.com> wrote in message
news:<1q0Lc.25634$9I.3908@okepread02>...
CUT<
Consider a mass on a string one meter long spinning clockwise around a
hub
at one revolution per second. Let's imagine the whole works out in
space so
that there is no stray gravity force to com0plicate the question. If
the
mass is released from the string as the string passes 12 o'clock, how
long
does it take for the involute path to pass the radius at 3 o'clock? At
6
o'clock? at 9 o'clock?
As long as you are in no hurry, and we're just imagining anyway; lets
make the speed one twelfth [1/12] revolution per hour: In one hour [@1
o'clock], after releasing the string at noon [12 o'clock], the mass
will have traveled 1/12 revolution, and be at the intersection of a
tangent and a radial line at one o'clock: In two hours the mass will
have traveled 2/12 revolution, and be at the intersection of a tangent
and a radial line at two o'clock: In three hours the mass will have
traveled 3/12 revolution, and be at the intersection of a tangent and
a radial line at three o'clock: In four hours the mass will have
traveled 4/12 revolution, and be at the intersection of a tangent and
a radial line at four o'clock:
With the whole works out in space, where there is no stray gravity
force to complicate the situation, this will continue into a second
revolution; even into a third, or more; but by 4 or 5 o'clock the
conclusion is evident:
A curved line drawn through the intersections of the tangent lines and
the radial lines is the radial outward path followed by the mass as it
centrifugally flees from the hub to which it was originally attached.
This is the principle by which slings and similar weapons operate.
BZZZZZT! WRONG!
You are the weakest link!
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| User: "Jim" |
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| Title: Re: The real effect of centrifugal force |
19 Jul 2004 11:27:17 PM |
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"Richard Henry" <rphenry@home.com> wrote:
"Donald G. Shead" <dcshead@charter.net> wrote in message
news:48402bae.0407191841.4715def1@posting.google.com...
Centrifugal force is mistakenly thought to cause a body to fly out of
its circular path; along a tangent direction which represents the
inertial path of Newtons inertial motion.
Actually centrifugal force, when not restrained as by a string or
sling causes a body to flee the center of an evolute radially; along
involutes that remain directed radially away from the center:
Like the sling used by David to slay Goliath; when it is released the
missile travels radially away from the center to points equidistant
along the tangent.; at potentially lethal speeds depending on the
speed it has when it is released from the evolute.
There is nothing fictitious about centrifugal force!
Consider a mass on a string one meter long spinning clockwise around a hub
at one revolution per second. Let's imagine the whole works out in space so
that there is no stray gravity force to com0plicate the question. If the
mass is released from the string as the string passes 12 o'clock, how long
does it take for the involute path to pass the radius at 3 o'clock? At 6
o'clock? at 9 o'clock?
Did you remember to wind the clock?
Donald's answer depends on it.
Jim
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| User: "TimR" |
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| Title: Re: The real effect of centrifugal force |
20 Jul 2004 05:56:41 AM |
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Jim <lose30lbs@workfromhome.com> wrote in message news:<nm7pf0ph7i0sgdo91hvgeqj12f95mt27dk@4ax.com>...
"Richard Henry" <rphenry@home.com> wrote:
"Donald G. Shead" <dcshead@charter.net> wrote in message
news:48402bae.0407191841.4715def1@posting.google.com...
Centrifugal force is mistakenly thought to cause a body to fly out of
its circular path; along a tangent direction which represents the
inertial path of Newtons inertial motion.
Actually centrifugal force, when not restrained as by a string or
sling causes a body to flee the center of an evolute radially; along
involutes that remain directed radially away from the center:
Like the sling used by David to slay Goliath; when it is released the
missile travels radially away from the center to points equidistant
along the tangent.; at potentially lethal speeds depending on the
speed it has when it is released from the evolute.
There is nothing fictitious about centrifugal force!
Consider a mass on a string one meter long spinning clockwise around a hub
at one revolution per second. Let's imagine the whole works out in space so
that there is no stray gravity force to com0plicate the question. If the
mass is released from the string as the string passes 12 o'clock, how long
does it take for the involute path to pass the radius at 3 o'clock? At 6
o'clock? at 9 o'clock?
Did you remember to wind the clock?
Donald's answer depends on it.
Jim
At the risk of lending credence to the original question, there is an
element missing if your mass on a string was actually intended to be a
David and Goliath style sling.
Your analysis implicitly assumes a stationary center of rotation, even
though we know that motion of the center of rotation along a slight
path forward and back is how the work is done to increase the linear
speed of the mass.
If you do the calculation you will see that even for fairly large
values of revolutions per second your linear speed is not enough to do
you much good.
However, in actual use, the center of rotation is moved a large
distance forwards during the interval preceding separation. The
leverage available allows a large acceleration of the linear speed of
the mass. This is what causes the usefulness of the primitive sling,
it really has nothing to do with the rotation speed, hence
centrifugal/centripetal force is not all that relevant to the sling,
except in contributing to the inertial resistance of moving the center
of rotation.
Most people who have not used a sling do not understand this process.
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| User: "Uncle Al" |
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| Title: Re: The real effect of centrifugal force |
19 Jul 2004 09:48:54 PM |
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"Donald G. Shead" wrote:
Centrifugal force is mistakenly thought to cause a body to fly out of
its circular path;
[snip crap]
http://www.pagetutor.com/idiot/idiot.html
http://www.apa.org/journals/psp/psp7761121.html
http://insti.physics.sunysb.edu/~siegel/quack.html
<http://www.firehead.org/~jessh/film/kubrick/Kubrick-Psycho.html>
<http://www.naturalchild.com/elliott_barker/prisons.html>
Hey Dumb Donny *****, why don't you become obsessed with
drinking birds? Lotta good possibilities with drinking birds,
Dumb Donny *****.
Google
"drinking birds" 711 hits
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/qz.pdf
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| User: "JM Albuquerque" |
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| Title: Re: The real effect of centrifugal force |
20 Jul 2004 09:11:02 AM |
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"Donald G. Shead" wrote:
Actually centrifugal force, when not restrained as by a string or
sling causes a body to flee the center of an evolute radially; along
involutes that remain directed radially away from the center:
Yes, its direction will be radial relative to the rotating reference frame
center. But it will be tangential relative to any external inertial
(stopped) reference frame.
Like the sling used by David to slay Goliath; when it is released the
missile travels radially away from the center to points equidistant
along the tangent.; at potentially lethal speeds depending on the
speed it has when it is released from the evolute.
There is nothing fictitious about centrifugal force!
The centrifugal force is very real for those that are in the rotating
reference frame, not for those outside the rotating frame (in an
inertial reference frame).
NOAA explains Ocean tides Earth opposite bulge based on the centrifugal
force due to Earth rotation.
NASA also takes centrifugal forces very seriously.
So far nobody has a good explanation for the circular motion.
Nobody can explain this:
http://physics.nad.ru/Physics/English/gyro_tmp.htm
http://physics.nad.ru/Physics/English/gyro_txt.htm
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| User: "TimR" |
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| Title: Re: The real effect of centrifugal force |
21 Jul 2004 12:52:38 AM |
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"JM Albuquerque" <jm.aREMOV.E@sapo.pt> wrote in message news:<2m4nbqFiumn1U1@uni-berlin.de>...
"Donald G. Shead" wrote:
Actually centrifugal force, when not restrained as by a string or
sling causes a body to flee the center of an evolute radially; along
involutes that remain directed radially away from the center:
Yes, its direction will be radial relative to the rotating reference frame
center. But it will be tangential relative to any external inertial
(stopped) reference frame.
Like the sling used by David to slay Goliath; when it is released the
missile travels radially away from the center to points equidistant
along the tangent.; at potentially lethal speeds depending on the
speed it has when it is released from the evolute.
There is nothing fictitious about centrifugal force!
The centrifugal force is very real for those that are in the rotating
reference frame, not for those outside the rotating frame (in an
inertial reference frame).
NOAA explains Ocean tides Earth opposite bulge based on the centrifugal
force due to Earth rotation.
NASA also takes centrifugal forces very seriously.
So far nobody has a good explanation for the circular motion.
Nobody can explain this:
http://physics.nad.ru/Physics/English/gyro_tmp.htm
http://physics.nad.ru/Physics/English/gyro_txt.htm
You are missing something nontrivial in your direction guesses.
You must allow for a large translation of your center of rotation
prior to release. You cannot assume a simple fixed center rotating
frame of reference.
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| User: "TimR" |
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| Title: Re: The real effect of centrifugal force |
21 Jul 2004 12:55:28 AM |
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"JM Albuquerque" <jm.aREMOV.E@sapo.pt> wrote in message news:<2m4nbqFiumn1U1@uni-berlin.de>...
"Donald G. Shead" wrote:
Actually centrifugal force, when not restrained as by a string or
sling causes a body to flee the center of an evolute radially; along
involutes that remain directed radially away from the center:
Yes, its direction will be radial relative to the rotating reference frame
center. But it will be tangential relative to any external inertial
(stopped) reference frame.
Like the sling used by David to slay Goliath; when it is released the
missile travels radially away from the center to points equidistant
along the tangent.; at potentially lethal speeds depending on the
speed it has when it is released from the evolute.
There is nothing fictitious about centrifugal force!
The centrifugal force is very real for those that are in the rotating
reference frame, not for those outside the rotating frame (in an
inertial reference frame).
NOAA explains Ocean tides Earth opposite bulge based on the centrifugal
force due to Earth rotation.
NASA also takes centrifugal forces very seriously.
So far nobody has a good explanation for the circular motion.
Nobody can explain this:
http://physics.nad.ru/Physics/English/gyro_tmp.htm
http://physics.nad.ru/Physics/English/gyro_txt.htm
You are missing something nontrivial in your direction guesses.
You must allow for a large translation of your center of rotation
prior to release. You cannot assume a simple fixed center rotating
frame of reference.
.
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| User: "David Bandel" |
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| Title: Re: The real effect of centrifugal force |
20 Jul 2004 04:46:37 AM |
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(Donald G. Shead) wrote in message news:<48402bae.0407191841.4715def1@posting.google.com>...
Centrifugal force is mistakenly thought to cause a body to fly out of
its circular path; along a tangent direction which represents the
inertial path of Newtons inertial motion.
Actually centrifugal force, when not restrained as by a string or
sling causes a body to flee the center of an evolute radially; along
involutes that remain directed radially away from the center:
Like the sling used by David to slay Goliath; when it is released the
missile travels radially away from the center to points equidistant
along the tangent.; at potentially lethal speeds depending on the
speed it has when it is released from the evolute.
There is nothing fictitious about centrifugal force!
not true. you're mistaking the difference between letting go of the
other end of the string and the string vanishing completely. if u let
go of the string sure it'll fly off radially. but if the string itself
disapeared. the rock would move in the direction it was.. tangentenial
to the orbit of the rock. anyways have a nice day and please don't
forget to go ***** yourself because you're an illiterate dumb mother
fucking little fuckwad. and btw. stop sending me emails about your gay
black boyfriend and how you joined usenets to try to pick up little
boys. everyone hates you you dumb old *****. fuckwit. useless old
bag of *****.
.
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| User: "Mike" |
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| Title: Re: The real effect of centrifugal force |
20 Jul 2004 11:43:56 AM |
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(David Bandel) wrote in message news:<a88af92f.0407200146.5242f9a4@posting.google.com>...
dcshead@charter.net (Donald G. Shead) wrote in message news:<48402bae.0407191841.4715def1@posting.google.com>...
Centrifugal force is mistakenly thought to cause a body to fly out of
its circular path; along a tangent direction which represents the
inertial path of Newtons inertial motion.
Actually centrifugal force, when not restrained as by a string or
sling causes a body to flee the center of an evolute radially; along
involutes that remain directed radially away from the center:
Like the sling used by David to slay Goliath; when it is released the
missile travels radially away from the center to points equidistant
along the tangent.; at potentially lethal speeds depending on the
speed it has when it is released from the evolute.
There is nothing fictitious about centrifugal force!
not true. you're mistaking the difference between letting go of the
other end of the string and the string vanishing completely. if u let
go of the string sure it'll fly off radially. but if the string itself
disapeared. the rock would move in the direction it was.. tangentenial
to the orbit of the rock. anyways have a nice day and please don't
forget to go ***** yourself because you're an illiterate dumb mother
fucking little fuckwad. and btw. stop sending me emails about your gay
black boyfriend and how you joined usenets to try to pick up little
boys. everyone hates you you dumb old *****. fuckwit. useless old
bag of *****.
Hey dirty mount, centripetal-centrifugal forces are action-reaction
pair. When you whirl a stone attached to a rope (don't break your
empty head doing that) the centripetal force acts on the rock and the
centrifugal force on the hand. If the rope is released, there is no
longer a action-reaction, the centripetal force that caused the
changes of momentum towards the center of forces (I'm sure you got no
clue what I'm talking about) vanishes and the rock will move according
to Newton's first law in the direction of the "right line" of the
initial velocity vecor at the time of release. If the centripetal
force valished due to cutting the rope, the same will happen dummy
because there is not any force acting on the rock any longer.
Got it dirty mouth? If not, any Mechanics 101 text will do it if you
can read.
Mike
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| User: "" |
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| Title: Re: The real effect of centrifugal force |
20 Jul 2004 12:33:45 PM |
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In article <9c1b39be.0407200843.239bd245@posting.google.com>, (Mike) writes:
Hey dirty mount, centripetal-centrifugal forces are action-reaction
pair.
Yes, I think there are some textbooks that define things this way --
that the centrifugal force is the force of the stone on the sling
and that centripetal force is the force of the sling on the stone
for instance. If I recall correctly, that is what I was taught.
But that is not the usage that I prefer, that most of the people here
prefer and that most textbooks prefer.
In our preferred usage, centrifugal force is the imaginary force that
you need to invoke in a rotating frame of reference so that Newton's
second law (f=ma) works out. The terms "fictitious force" or
"inertial force" are often used to describe forces of this sort.
Coriolis force is another example of a fictitious force.
Fictitious forces have no third law partners.
John Briggs
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| User: "Mike" |
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| Title: Re: The real effect of centrifugal force |
21 Jul 2004 03:52:58 AM |
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wrote in message news:<44RNJ+BqMon0@eisner.encompasserve.org>...
In article <9c1b39be.0407200843.239bd245@posting.google.com>, (Mike) writes:
Hey dirty mount, centripetal-centrifugal forces are action-reaction
pair.
Yes, I think there are some textbooks that define things this way --
that the centrifugal force is the force of the stone on the sling
and that centripetal force is the force of the sling on the stone
for instance. If I recall correctly, that is what I was taught.
But that is not the usage that I prefer, that most of the people here
prefer and that most textbooks prefer.
In our preferred usage, centrifugal force is the imaginary force that
you need to invoke in a rotating frame of reference so that Newton's
second law (f=ma) works out. The terms "fictitious force" or
"inertial force" are often used to describe forces of this sort.
Coriolis force is another example of a fictitious force.
Fictitious forces have no third law partners.
John Briggs
That is all correct what you wrote. I'm glad you pointed that out.
However, IMO the term ficticious is used only in reference to applying
the law in a rotating frame. Otherwise, centrifugal force is very real
and without it a centrifuge wouldn't work.
I prefer the term "inertial force". I think the unfortunate choice of
the term "ficticious force" has contributed to the creation of a whole
generation of crackpots. It's a sad.
Mike
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| User: "David Murdock" |
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| Title: Re: The real effect of centrifugal force |
20 Jul 2004 09:59:37 AM |
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(David Bandel) wrote in message news:<a88af92f.0407200146.5242f9a4@posting.google.com>...
dcshead@charter.net (Donald G. Shead) wrote in message news:<48402bae.0407191841.4715def1@posting.google.com>...
[snippo]
There is nothing fictitious about centrifugal force!
not true. you're mistaking the difference between letting go of the
other end of the string and the string vanishing completely. if u let
go of the string sure it'll fly off radially.
Wrong.
but if the string itself
disapeared. the rock would move in the direction it was.. tangentenial
to the orbit of the rock.
Yes.
everyone hates you you dumb old *****. fuckwit. useless old
bag of *****.
Think about your answers before abusing Donny.
---DPM
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| User: "" |
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| Title: Re: The real effect of centrifugal force |
20 Jul 2004 07:52:35 AM |
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In article <a88af92f.0407200146.5242f9a4@posting.google.com>, (David Bandel) writes:
dcshead@charter.net (Donald G. Shead) wrote in message news:<48402bae.0407191841.4715def1@posting.google.com>...
Centrifugal force is mistakenly thought to cause a body to fly out of
its circular path; along a tangent direction which represents the
inertial path of Newtons inertial motion.
Actually centrifugal force, when not restrained as by a string or
sling causes a body to flee the center of an evolute radially; along
involutes that remain directed radially away from the center:
Like the sling used by David to slay Goliath; when it is released the
missile travels radially away from the center to points equidistant
along the tangent.; at potentially lethal speeds depending on the
speed it has when it is released from the evolute.
There is nothing fictitious about centrifugal force!
not true. you're mistaking the difference between letting go of the
other end of the string and the string vanishing completely. if u let
go of the string sure it'll fly off radially.
No. It'll fly off tangentially.
Or, to be perfectly accurate, it'll fly off _both_ radially and
tangentially.
If you stay with the rotating frame, looking down your arm at the
sling stone, it'll appear to fly off radially. At least until
Coriolis rears its head and the stone veers off anti-spinward.
(Ever played catch on a merry-go-round? Amazingly difficult.)
If you work from an inertial frame, standing behind the slinger
and watching the stone, it'll appear to fly off tangentially.
Both descriptions work and both descriptions wind up with the stone
impacting Goliath's head at the same relative speed.
but if the string itself
disapeared. the rock would move in the direction it was.. tangentenial
to the orbit of the rock.
For a string of negligible mass, it doesn't matter whether you let
go of it or disintegrate it or fire the explosive bolts at the far
end.
If you let go and the string is of non-negligible mass, the string+stone
assembly goes off radially (or tangentially depending on your point of
view) and keeps on spinning. So the motion of the stone will be
radial + circular orbit or tangential + circular orbit depending
on your point of view.
Note that in a traditional sling, you release the stone from the sling
and keep hold of the sling. The sling doesn't fly downrange. The
stone does.
anyways have a nice day and please don't
forget to go ***** yourself because you're an illiterate dumb mother
fucking little fuckwad. and btw. stop sending me emails about your gay
black boyfriend and how you joined usenets to try to pick up little
boys. everyone hates you you dumb old *****. fuckwit. useless old
bag of *****.
Be careful not to make mistakes of your own when you go off the deep end
like that.
John Briggs
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| User: "TimR" |
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| Title: Re: The real effect of centrifugal force |
23 Jul 2004 02:01:20 AM |
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wrote in message news:<LymZPCnuAA4f@eisner.encompasserve.org>...
In article <a88af92f.0407200146.5242f9a4@posting.google.com>, (David Bandel) writes:
dcshead@charter.net (Donald G. Shead) wrote in message news:<48402bae.0407191841.4715def1@posting.google.com>...
Centrifugal force is mistakenly thought to cause a body to fly out of
its circular path; along a tangent direction which represents the
inertial path of Newtons inertial motion.
Actually centrifugal force, when not restrained as by a string or
sling causes a body to flee the center of an evolute radially; along
involutes that remain directed radially away from the center:
Like the sling used by David to slay Goliath; when it is released the
missile travels radially away from the center to points equidistant
along the tangent.; at potentially lethal speeds depending on the
speed it has when it is released from the evolute.
There is nothing fictitious about centrifugal force!
not true. you're mistaking the difference between letting go of the
other end of the string and the string vanishing completely. if u let
go of the string sure it'll fly off radially.
No. It'll fly off tangentially.
Or, to be perfectly accurate, it'll fly off _both_ radially and
tangentially.
If you stay with the rotating frame, looking down your arm at the
sling stone, it'll appear to fly off radially. At least until
Coriolis rears its head and the stone veers off anti-spinward.
(Ever played catch on a merry-go-round? Amazingly difficult.)
If you work from an inertial frame, standing behind the slinger
and watching the stone, it'll appear to fly off tangentially.
Both descriptions work and both descriptions wind up with the stone
impacting Goliath's head at the same relative speed.
<snip>
Not true. If you do it this way your stone drops limply to the ground
about halfway to Goliath's head.
It is probably better to stay with the inertial frame in this case,
because the sling projectile's velocity after release is not simply
the linear speed during rotation.
During the release interval, most of the speed is generated by moving
the center of rotation a large distance forward. Therefore your
rotating frame becomes much more complicated than your inertial frame.
The assumption that the sling whirls around a stationary center and
the speed is the radius times the angular velocity is as bogus as the
assumed spherical horse in the old joke. MOST of the sling effect
comes from moving the center (all of it if you include the fact that
small linear motions of the center cause the whirling). That should
change your picture of the direction the mass travels as well.
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| User: "Jim" |
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| Title: Re: The real effect of centrifugal force |
19 Jul 2004 10:25:55 PM |
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(Donald G. Shead) wrote:
Centrifugal force is mistakenly thought to cause a body to fly out of
its circular path; along a tangent direction which represents the
inertial path of Newtons inertial motion.
Actually centrifugal force, when not restrained as by a string or
sling causes a body to flee the center of an evolute radially; along
involutes that remain directed radially away from the center:
Like the sling used by David to slay Goliath; when it is released the
missile travels radially away from the center to points equidistant
along the tangent.; at potentially lethal speeds depending on the
speed it has when it is released from the evolute.
There is nothing fictitious about centrifugal force!
I'll play Goliath to your David any day.
Since all your missiles will go straight to the ground,
I'll have plenty of time to give you a lesson in inertia,
with my boot.
Jim
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