experiment The Cavendish Torsion Balance

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experiment : The Cavendish Torsion Balanceexperime…equation 33.6: eq:expcav-torsion-period33.6phenomenon 33.4: A twisted fibre restores in proportion to the twist33.4equation 33.1: eq:expcav-newton-law33.1equation 33.5: eq:expcav-torsion-eom33.5equation 9.108: eq:slt-helmholtz-real9.108proposition 33.6: The working formula of the torsion balance33.6remark 33.5: Why the fibre must be fine, quantitatively33.5equation 33.11: eq:expcav-theta-solved33.11equation 9.106: eq:slt-helmholtz-ode9.106proof : ch:16-exp-cavendish@proof-3proofphenomenon 33.3: Gravitation acts between laboratory masses33.3phenomenon 33.12: The Earth is much denser than its crust33.12proposition 33.2: Celestial mechanics determines only the products Gm33.2equation 33.17: eq:expcav-mean-density33.17

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typedirectionnode provenancewhere
assumes eq:expcav-torsion-period declared parts/03-classical-mechanics/16-exp-cavendish.tex:4
assumes A twisted fibre restores in proportion to the twist declared parts/03-classical-mechanics/16-exp-cavendish.tex:4
cites The International System of Units (SI) derived parts/03-classical-mechanics/16-exp-cavendish.tex:1299
cites On the Newtonian constant of gravitation derived parts/03-classical-mechanics/16-exp-cavendish.tex:891
cites On the Newtonian constant of gravitation derived parts/03-classical-mechanics/16-exp-cavendish.tex:962
cites On the Newtonian constant of gravitation derived parts/03-classical-mechanics/16-exp-cavendish.tex:1292
cites Experiments to determine the density of the earth derived parts/03-classical-mechanics/16-exp-cavendish.tex:23
cites Experiments to determine the density of the earth derived parts/03-classical-mechanics/16-exp-cavendish.tex:251
cites Experiments to determine the density of the earth derived parts/03-classical-mechanics/16-exp-cavendish.tex:525
cites Experiments to determine the density of the earth derived parts/03-classical-mechanics/16-exp-cavendish.tex:610
cites Experiments to determine the density of the earth derived parts/03-classical-mechanics/16-exp-cavendish.tex:728
cites Experiments to determine the density of the earth derived parts/03-classical-mechanics/16-exp-cavendish.tex:1284
cites Recherches théoriques et expérimentales sur la force de torsion et sur l'élasticité des fils de métal derived parts/03-classical-mechanics/16-exp-cavendish.tex:254
cites Recherches théoriques et expérimentales sur la force de torsion et sur l'élasticité des fils de métal derived parts/03-classical-mechanics/16-exp-cavendish.tex:1289
cites Premier mémoire sur l'électricité et le magnétisme derived parts/03-classical-mechanics/16-exp-cavendish.tex:254
cites Premier mémoire sur l'électricité et le magnétisme derived parts/03-classical-mechanics/16-exp-cavendish.tex:1289
cites Measurement of Newton's Constant Using a Torsion Balance with Angular Acceleration Feedback derived parts/03-classical-mechanics/16-exp-cavendish.tex:1031
cites Measurement of Newton's Constant Using a Torsion Balance with Angular Acceleration Feedback derived parts/03-classical-mechanics/16-exp-cavendish.tex:1119
cites Measurement of Newton's Constant Using a Torsion Balance with Angular Acceleration Feedback derived parts/03-classical-mechanics/16-exp-cavendish.tex:1293
cites A redetermination of the constant of gravitation derived parts/03-classical-mechanics/16-exp-cavendish.tex:512
cites A redetermination of the constant of gravitation derived parts/03-classical-mechanics/16-exp-cavendish.tex:904
cites A redetermination of the constant of gravitation derived parts/03-classical-mechanics/16-exp-cavendish.tex:1012
cites A redetermination of the constant of gravitation derived parts/03-classical-mechanics/16-exp-cavendish.tex:1293
cites An account of the calculations made from the survey and measures taken at Schehallien, in order to ascertain the mean density of the Earth derived parts/03-classical-mechanics/16-exp-cavendish.tex:231
cites An account of the calculations made from the survey and measures taken at Schehallien, in order to ascertain the mean density of the Earth derived parts/03-classical-mechanics/16-exp-cavendish.tex:1287
cites Evaluation of Measurement Data --- Guide to the Expression of Uncertainty in Measurement derived parts/03-classical-mechanics/16-exp-cavendish.tex:1298
cites Does the Time-of-Swing Method Give a Correct Value of the Newtonian Gravitational Constant? derived parts/03-classical-mechanics/16-exp-cavendish.tex:1025
cites Does the Time-of-Swing Method Give a Correct Value of the Newtonian Gravitational Constant? derived parts/03-classical-mechanics/16-exp-cavendish.tex:1296
cites Measurements of the gravitational constant using two independent methods derived parts/03-classical-mechanics/16-exp-cavendish.tex:1060
cites Measurements of the gravitational constant using two independent methods derived parts/03-classical-mechanics/16-exp-cavendish.tex:1125
cites Measurements of the gravitational constant using two independent methods derived parts/03-classical-mechanics/16-exp-cavendish.tex:1127
cites Measurements of the gravitational constant using two independent methods derived parts/03-classical-mechanics/16-exp-cavendish.tex:1293
cites Redetermination of the Newtonian Gravitational ConstantG derived parts/03-classical-mechanics/16-exp-cavendish.tex:512
cites Redetermination of the Newtonian Gravitational ConstantG derived parts/03-classical-mechanics/16-exp-cavendish.tex:1022
cites Redetermination of the Newtonian Gravitational ConstantG derived parts/03-classical-mechanics/16-exp-cavendish.tex:1117
cites Redetermination of the Newtonian Gravitational ConstantG derived parts/03-classical-mechanics/16-exp-cavendish.tex:1293
cites An account of observations made on the mountain Schehallien for finding its attraction derived parts/03-classical-mechanics/16-exp-cavendish.tex:222
cites An account of observations made on the mountain Schehallien for finding its attraction derived parts/03-classical-mechanics/16-exp-cavendish.tex:1286
cites CODATA recommended values of the fundamental physical constants: 2022 derived parts/03-classical-mechanics/16-exp-cavendish.tex:44
cites CODATA recommended values of the fundamental physical constants: 2022 derived parts/03-classical-mechanics/16-exp-cavendish.tex:887
cites CODATA recommended values of the fundamental physical constants: 2022 derived parts/03-classical-mechanics/16-exp-cavendish.tex:1108
cites CODATA recommended values of the fundamental physical constants: 2022 derived parts/03-classical-mechanics/16-exp-cavendish.tex:1130
cites CODATA recommended values of the fundamental physical constants: 2022 derived parts/03-classical-mechanics/16-exp-cavendish.tex:1297
cites Philosophiæ Naturalis Principia Mathematica derived parts/03-classical-mechanics/16-exp-cavendish.tex:94
cites Philosophiæ Naturalis Principia Mathematica derived parts/03-classical-mechanics/16-exp-cavendish.tex:158
cites The Mean Density of the Earth derived parts/03-classical-mechanics/16-exp-cavendish.tex:753
cites The Mean Density of the Earth derived parts/03-classical-mechanics/16-exp-cavendish.tex:800
cites The Mean Density of the Earth derived parts/03-classical-mechanics/16-exp-cavendish.tex:892
cites The Mean Density of the Earth derived parts/03-classical-mechanics/16-exp-cavendish.tex:1007
cites The Mean Density of the Earth derived parts/03-classical-mechanics/16-exp-cavendish.tex:1292
cites Improved Determination ofGUsing Two Methods derived parts/03-classical-mechanics/16-exp-cavendish.tex:1051
cites Improved Determination ofGUsing Two Methods derived parts/03-classical-mechanics/16-exp-cavendish.tex:1121
cites Improved Determination ofGUsing Two Methods derived parts/03-classical-mechanics/16-exp-cavendish.tex:1293
cites Precision measurement of the Newtonian gravitational constant using cold atoms derived parts/03-classical-mechanics/16-exp-cavendish.tex:1075
cites Precision measurement of the Newtonian gravitational constant using cold atoms derived parts/03-classical-mechanics/16-exp-cavendish.tex:1123
cites Precision measurement of the Newtonian gravitational constant using cold atoms derived parts/03-classical-mechanics/16-exp-cavendish.tex:1293
cites Invited Review Article: Measurements of the Newtonian constant of gravitation, G derived parts/03-classical-mechanics/16-exp-cavendish.tex:44
cites Invited Review Article: Measurements of the Newtonian constant of gravitation, G derived parts/03-classical-mechanics/16-exp-cavendish.tex:564
cites Invited Review Article: Measurements of the Newtonian constant of gravitation, G derived parts/03-classical-mechanics/16-exp-cavendish.tex:1017
cites Invited Review Article: Measurements of the Newtonian constant of gravitation, G derived parts/03-classical-mechanics/16-exp-cavendish.tex:1087
cites Invited Review Article: Measurements of the Newtonian constant of gravitation, G derived parts/03-classical-mechanics/16-exp-cavendish.tex:1295
cites An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements derived parts/03-classical-mechanics/16-exp-cavendish.tex:1298
cites CODATA recommended values of the fundamental physical constants: 2018 derived parts/03-classical-mechanics/16-exp-cavendish.tex:44
cites CODATA recommended values of the fundamental physical constants: 2018 derived parts/03-classical-mechanics/16-exp-cavendish.tex:1297
tests eq:expcav-newton-law declared parts/03-classical-mechanics/16-exp-cavendish.tex:3