Archimedes, the center of gravity, and the first law of mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Montreal
Apeiron
2008
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | I, 187 S. graph. Darst. |
| ISBN: | 9780973291162 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
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| 003 | DE-604 | ||
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| 020 | |a 9780973291162 |9 978-0-9732911-6-2 | ||
| 035 | |a (OCoLC)184738378 | ||
| 035 | |a (DE-599)HBZHT015676800 | ||
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| 041 | 0 | |a eng | |
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| 100 | 1 | |a Assis, André Koch Torres |d 1962- |e Verfasser |0 (DE-588)114766355 |4 aut | |
| 245 | 1 | 0 | |a Archimedes, the center of gravity, and the first law of mechanics |c Andre K. T. Assis |
| 264 | 1 | |a Montreal |b Apeiron |c 2008 | |
| 300 | |a I, 187 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 600 | 0 | 7 | |a Archimedes |d v287-v212 |0 (DE-588)118503863 |2 gnd |9 rswk-swf |
| 650 | 4 | |a Centre de masse - Expériences | |
| 650 | 4 | |a Centre de masse - Manuels scolaires | |
| 650 | 4 | |a Mécanique - Expériences | |
| 650 | 4 | |a Mécanique - Texts | |
| 650 | 4 | |a Center of mass |v Textbooks | |
| 650 | 4 | |a Center of mass |x Experiments | |
| 650 | 4 | |a Mechanics |v Textbooks | |
| 650 | 4 | |a Mechanics |x Experiments | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-017366810 | ||
Datensatz im Suchindex
| _version_ | 1804138895823077376 |
|---|---|
| adam_text | Table
of Contents
Acknowledgments
..............................................................................................
і
Chapter
1
The Life of Archimedes
....................................................................................1
Chapter
2
The Works of Archimedes
11
2.1
Extant works
.........................................................................................12
2.2
The Method.
..........................................................................................20
Chapter
3
The Center of Gravity
....................................................................................25
3.1
Geometry
..............................................................................................25
3.1.1
Materials
........................................................................................25
3.1.2
Finding the centers of circles, rectangles
and parallelograms
........................................................................25
3.1.3
The triangle centers
.......................................................................26
3.2
Experiments on and definition of the center of
gravity
..................................................................................................30
3.2.1
Definitions
.....................................................................................31
3.2.2
Support for the experiments
..........................................................32
3.2.3
First experimental procedure to find the
CG.................................................................................................34
3.2.4
Experiments with concave bodies or
pierced bodies
................................................................................41
3.2.5
Experiments with three-dimensional
bodies
............................................................................................45
3.2.6
Plumb line, vertical and horizontal
................................................47
3.2.7
Second experimental procedure to find the
CG.................................................................................................50
3.2.8
Third experimental procedure to find the
CG.................................................................................................56
3.2.9
Conditions of equilibrium for supported
bodies
............................................................................................58
3.2.10
Definitions of stable, unstable and neutral
equilibrium
....................................................................................62
3.2.11
Conditions of equilibrium for suspended
bodies
............................................................................................66
3.2.12
Definitive definition of the center of
gravity
...........................................................................................69
3.2.13
Summary
.......................................................................................74
3.3
Fun activities with the equilibrist
.........................................................75
3.4
Equilibrium toys
...................................................................................84
3.4.1
Equilibrium games in the pub
.......................................................87
3.4.2
Equilibrium of the human body
.....................................................89
3.4.3
The
ET...........................................................................................94
Chapter
4
Historical Aspects of the Center of Gravity
..................................................97
Chapter
5
Theoretical Values of Center of Gravity Obtained by Archimedes
..........107
5.1
One-dimensional figures
....................................................................107
5.2
Two-dimensional figures
....................................................................107
5.3
Three-dimensional figures
..................................................................109
Chapter
6
Balances and the Measurement of Weight
..................................................
Ill
6.1
Building a balance
..............................................................................
Ill
6.2
Measurement of weight
......................................................................119
6.3
Improving balance sensitivity
.............................................................123
6.4
Condition of equilibrium of a suspended body
...................................132
6.5
Balances with the center of gravity above the
fulcrum
...............................................................................................135
6.6
Other types of balance
........................................................................136
6.7
Using weight as a standard of force
....................................................136
Chapter
7
Levers and the First Law of Mechanics
......................................................139
7.1
Building and calibrating levers
...........................................................139
7.2
Experiments with levers and the first law of
mechanics
...........................................................................................141
7.2.1
First part of the law of the lever
..................................................144
7.2.2
Second part of the law of the lever
..............................................148
7.3
Types of levers
...................................................................................151
Chapter
8
Mathematical Definition of Center of Gravity
...........................................153
Chapter
9
Explanations of and Deductions from the Law of the Lever
.....................159
9.1
Law of the lever as an experimental result
.........................................159
9.2
Deriving the law of the lever
írom
the torque
concept
...............................................................................................161
9.3
Law of the lever derived from the
experimental result that a weight 2P acting at
a distance
d
from the fulcrum is equivalent to
a weight
Ρ
acting at a distance
d
-
χ,
together
with another weight
Ρ
acting at a distance
d
+x from the fulcrum
........................................................................164
9.4
Law of the lever as derived by Duhem
utilizing a modification of work attributed to
Euclid
.................................................................................................168
9.5
Proof of the law of the lever by an
experimental procedure suggested by a work
attributed to Euclid
.............................................................................170
9.6
Theoretical proof of the law of the lever
attributed to Euclid
.............................................................................176
9.7
Archimedes s proof of the law of the lever and
calculation of the center of gravity of a
triangle
...............................................................................................177
9.7.1
Law of the lever
...........................................................................177
9.7.2 CG
of a triangle
...........................................................................182
Bibliography
..................................................................................................187
|
| any_adam_object | 1 |
| author | Assis, André Koch Torres 1962- |
| author_GND | (DE-588)114766355 |
| author_facet | Assis, André Koch Torres 1962- |
| author_role | aut |
| author_sort | Assis, André Koch Torres 1962- |
| author_variant | a k t a akt akta |
| building | Verbundindex |
| bvnumber | BV035446671 |
| classification_rvk | SG 530 |
| classification_tum | PHY 201f |
| ctrlnum | (OCoLC)184738378 (DE-599)HBZHT015676800 |
| dewey-full | 531/.14 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531/.14 |
| dewey-search | 531/.14 |
| dewey-sort | 3531 214 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV035446671 |
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| indexdate | 2024-07-09T21:35:28Z |
| institution | BVB |
| isbn | 9780973291162 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017366810 |
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| physical | I, 187 S. graph. Darst. |
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| spelling | Assis, André Koch Torres 1962- Verfasser (DE-588)114766355 aut Archimedes, the center of gravity, and the first law of mechanics Andre K. T. Assis Montreal Apeiron 2008 I, 187 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Archimedes v287-v212 (DE-588)118503863 gnd rswk-swf Centre de masse - Expériences Centre de masse - Manuels scolaires Mécanique - Expériences Mécanique - Texts Center of mass Textbooks Center of mass Experiments Mechanics Textbooks Mechanics Experiments Mechanik (DE-588)4038168-7 gnd rswk-swf Gleichgewicht (DE-588)4121372-5 gnd rswk-swf (DE-588)4144384-6 Beispielsammlung gnd-content Archimedes v287-v212 (DE-588)118503863 p Mechanik (DE-588)4038168-7 s DE-604 Gleichgewicht (DE-588)4121372-5 s Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017366810&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Assis, André Koch Torres 1962- Archimedes, the center of gravity, and the first law of mechanics Archimedes v287-v212 (DE-588)118503863 gnd Centre de masse - Expériences Centre de masse - Manuels scolaires Mécanique - Expériences Mécanique - Texts Center of mass Textbooks Center of mass Experiments Mechanics Textbooks Mechanics Experiments Mechanik (DE-588)4038168-7 gnd Gleichgewicht (DE-588)4121372-5 gnd |
| subject_GND | (DE-588)118503863 (DE-588)4038168-7 (DE-588)4121372-5 (DE-588)4144384-6 |
| title | Archimedes, the center of gravity, and the first law of mechanics |
| title_auth | Archimedes, the center of gravity, and the first law of mechanics |
| title_exact_search | Archimedes, the center of gravity, and the first law of mechanics |
| title_full | Archimedes, the center of gravity, and the first law of mechanics Andre K. T. Assis |
| title_fullStr | Archimedes, the center of gravity, and the first law of mechanics Andre K. T. Assis |
| title_full_unstemmed | Archimedes, the center of gravity, and the first law of mechanics Andre K. T. Assis |
| title_short | Archimedes, the center of gravity, and the first law of mechanics |
| title_sort | archimedes the center of gravity and the first law of mechanics |
| topic | Archimedes v287-v212 (DE-588)118503863 gnd Centre de masse - Expériences Centre de masse - Manuels scolaires Mécanique - Expériences Mécanique - Texts Center of mass Textbooks Center of mass Experiments Mechanics Textbooks Mechanics Experiments Mechanik (DE-588)4038168-7 gnd Gleichgewicht (DE-588)4121372-5 gnd |
| topic_facet | Archimedes v287-v212 Centre de masse - Expériences Centre de masse - Manuels scolaires Mécanique - Expériences Mécanique - Texts Center of mass Textbooks Center of mass Experiments Mechanics Textbooks Mechanics Experiments Mechanik Gleichgewicht Beispielsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017366810&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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