A Treatise on Statics with Applications to Physics, Volume 2Clarendon Press, 1886 |
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Page 1
... directions or not ) , give a resultant represented in magnitude and direction by the diagonal , 00 ' , of the parallelopiped determined by the forces . If several forces , P1 , P2 , ... P2 , act at O and make angles ( a1 , B1 , 1 ) ...
... directions or not ) , give a resultant represented in magnitude and direction by the diagonal , 00 ' , of the parallelopiped determined by the forces . If several forces , P1 , P2 , ... P2 , act at O and make angles ( a1 , B1 , 1 ) ...
Page 2
... directions is the diagonal of the parallelopiped determined by them . Hence , R being the magnitude of this resultant , R = √ ( EX ) 2 + ( ΣY ) 2 + ( ΣZ ) 2 , and if 0 , 4 , 4 , be the direction - angles of R , ( 2 ) cos 0 = ΣΧ R ΣΥ ΣΖ ...
... directions is the diagonal of the parallelopiped determined by them . Hence , R being the magnitude of this resultant , R = √ ( EX ) 2 + ( ΣY ) 2 + ( ΣZ ) 2 , and if 0 , 4 , 4 , be the direction - angles of R , ( 2 ) cos 0 = ΣΧ R ΣΥ ΣΖ ...
Page 3
... direction by n . OG . 200. ] Transformation of Couples . To what has been given . in Chapter V on the transformation ... direction of its axis ; the actual position of the axis in space is of no consequence , but only its direction ; two ...
... direction by n . OG . 200. ] Transformation of Couples . To what has been given . in Chapter V on the transformation ... direction of its axis ; the actual position of the axis in space is of no consequence , but only its direction ; two ...
Page 5
... direction Ox ; then I is the axis of the component of the resultant couple in the plane yz . Let M and N be the sums of the axes in the directions Oy and Oz , re- spectively . Then , if G is the resultant axis , G = √L2 + M2 + N2 , and ...
... direction Ox ; then I is the axis of the component of the resultant couple in the plane yz . Let M and N be the sums of the axes in the directions Oy and Oz , re- spectively . Then , if G is the resultant axis , G = √L2 + M2 + N2 , and ...
Page 7
... direction of P makes with the axes of x , y , z , respectively . 00 y - 2 P P / Fig . 231 . , where OA = r , and The direction cosines of OA are it is easy to prove that the direction cosines of the axis of the couple ( which is at once ...
... direction of P makes with the axes of x , y , z , respectively . 00 y - 2 P P / Fig . 231 . , where OA = r , and The direction cosines of OA are it is easy to prove that the direction cosines of the axis of the couple ( which is at once ...
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A Treatise on Statics: With Application to Physics, Volume 1 George Minchin Minchin No preview available - 2016 |
Common terms and phrases
A₁ angle attraction axes axis catenoid centre of gravity charge co-ordinates coefficients components conductor cone constant cos² couple curvature curve cylinder cylindroid denote density direction displacement distance dx dy dz Edition element element plane ellipse ellipsoid elongation equal equation equilibrium fixed function Hence infinite integral intensity intersect inverse L₁ law of attraction length M.A. Extra fcap M₁ magnitude mass N₁ normal osculating plane P₁ P₂ parallel parallelopiped particle perpendicular pitch plane position Potential quadric radius rectangular resultant right line rigid body rotation round shear shearing stress shell sin² sphere spherical Spherical Harmonics strain stress string suppose surface surface-density T₁ T₂ tangent tension Theorem twist vector vertical W. W. Skeat wire wrench Y₁ zero µ² аф
Popular passages
Page 234 - And to us it is enough that gravity does really exist, and act according to the laws which we have explained, and abundantly serves to account for all the motions of the celestial bodies, and of our sea.
Page 12 - Vol. II. The Sacred Laws of the Aryas, as taught in the Schools of Apastamba, Gautama, VasishMa, and Baudhayana. Translated by Prof. Georg Buhler. Part I. Apastamba and Gautama. lOf. 6d. Vol. III. The Sacred Books of China. The Texts of Confucianism.
Page 355 - K and E are the complete elliptic integrals of the first and second kinds with modulus k ; so that the quantity in PA brackets is a function of the ratio ^^: simply.
Page 234 - But hitherto I have not been able to discover the cause of those properties of gravity from phenomena, and I frame no hypotheses: for whatever is not deduced from the phenomena is to be called an hypothesis ; and hypotheses, whether metaphysical or physical, whether of occult qualities or mechanical, have no place in experimental philosophy.