A Treatise on Electromagnetic Phenomena, and on the Compass and Its Deviations Aboard Ship: Mathematical, Theoretical, and Practical, Volume 2J. Wiley & Sons, 1903 - Compass |
From inside the book
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Page 611
... Substituting ( 17 ) and ( 18 ) in ( 16 ) , and then this in ( 10 ) , x2 g v = 2.g -- = - 2.1 2.1 • · ( 19 ) If x = o , we get the maximum velocity ( at C ) that is , g v = S ( 20 ) If x = s , we obtain the velocity ( v ' ' ' ) at the ...
... Substituting ( 17 ) and ( 18 ) in ( 16 ) , and then this in ( 10 ) , x2 g v = 2.g -- = - 2.1 2.1 • · ( 19 ) If x = o , we get the maximum velocity ( at C ) that is , g v = S ( 20 ) If x = s , we obtain the velocity ( v ' ' ' ) at the ...
Page 613
... Substituting this in ( 23 ) , it is v ' : v ' = s : √ / s2 − x2 , . V ( 27 ) and introducing the value of ( 20 ) in ( 27 ) , this last becomes whence g : v ' ' = s : √ / s2 — x2 , . - = { 2 ( s = x2 ) . ( 28 ) ( 29 ) The second ...
... Substituting this in ( 23 ) , it is v ' : v ' = s : √ / s2 − x2 , . V ( 27 ) and introducing the value of ( 20 ) in ( 27 ) , this last becomes whence g : v ' ' = s : √ / s2 — x2 , . - = { 2 ( s = x2 ) . ( 28 ) ( 29 ) The second ...
Page 614
... Substituting this value of d and that of v from ( 20 ) in ( 31 ) , this becomes T.S TC t g g ( 32 ) In this , it will be seen , as stated at the outset , that the period of oscillation depends on two quantities - the weight and form of ...
... Substituting this value of d and that of v from ( 20 ) in ( 31 ) , this becomes T.S TC t g g ( 32 ) In this , it will be seen , as stated at the outset , that the period of oscillation depends on two quantities - the weight and form of ...
Page 626
... general the moment of inertia of the magnet by K , { eq . ( 47 ) } , and substituting K for I and M. H for g in eq . ( 56 ) , it becomes M.H K - 12 . ( 57 ) Placing this under another form , we have K t 626 MANUFACTURE OF THE COMPASS ,
... general the moment of inertia of the magnet by K , { eq . ( 47 ) } , and substituting K for I and M. H for g in eq . ( 56 ) , it becomes M.H K - 12 . ( 57 ) Placing this under another form , we have K t 626 MANUFACTURE OF THE COMPASS ,
Page 632
... Substituting values from ( 84 ) and ( 86 ) in the last member of ( 82 ) , this becomes 4r2.cos2 K'm = ( 2r.cos ) + r2.sin2 φ 1 2 + } · ( 87 ) By Trig . , sin2 = 1 - cos2 ; ( 88 ) substituting ( 88 ) in ( 87 ) , we 632 MANUFACTURE OF THE ...
... Substituting values from ( 84 ) and ( 86 ) in the last member of ( 82 ) , this becomes 4r2.cos2 K'm = ( 2r.cos ) + r2.sin2 φ 1 2 + } · ( 87 ) By Trig . , sin2 = 1 - cos2 ; ( 88 ) substituting ( 88 ) in ( 87 ) , we 632 MANUFACTURE OF THE ...
Other editions - View all
A Treatise on Electromagnetic Phenomena, and on the Compass and ..., Volume 1 Timothy Augustine Lyons No preview available - 2018 |
A Treatise on Electromagnetic Phenomena, and on the Compass and Its ... Timothy Augustine Lyons No preview available - 2015 |
Common terms and phrases
angle axis azimuth Bearing of True binnacle brass center of gravity circle coefficients cols compass course compensating component cos² cosine D.sin deflected needle Deviations Produced diameter dip circle distance disturbing dygogram Earth east effect equal equations error ether waves experiments formula four needles heeling hence horizontal inches induced inertia keel length Line on Wall magnetic course magnetic force magnetic moment mass maxima and minima means method moment of inertia motion netic observations obtained oscillation period of oscillation permanent magnetism pivot placed plane plates polarity pole quantities radius represent S₁ S₂ second member semicircle semicircular sextantal ship swings ship's head side sin² sine soft iron south pole starboard steel magnet strength Substituting swung tion True Meridian Line tube varied versin vertical whence wire ΙΟ
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