Elements of Dynamic: An Introduction to the Study of Motion and Rest in Solid and Fluid Bodies. Kinematic, Parte1,Libro 1Macmillan and Company, 1878 |
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Página 137
... rolling the polygon abcde on the polygon aBCDE , it being obvious that corresponding sides of them are equal . By taking the successive positions sufficiently near to one another , we can make this approximation as close as we like to ...
... rolling the polygon abcde on the polygon aBCDE , it being obvious that corresponding sides of them are equal . By taking the successive positions sufficiently near to one another , we can make this approximation as close as we like to ...
Página 138
... means the velocity of the instantaneous centre in the fixed plane , c , its velocity in the moving plane , and o the velocity of o in the moving plane , which we know to be zero . ROLLING OF CENTRODES . 139 Now if p be any 138 DYNAMIC .
... means the velocity of the instantaneous centre in the fixed plane , c , its velocity in the moving plane , and o the velocity of o in the moving plane , which we know to be zero . ROLLING OF CENTRODES . 139 Now if p be any 138 DYNAMIC .
Página 139
... ROLLING OF CENTRODES . 139 Now if p be any point in the moving plane , we know that at every instant piw.cp. To find the acceleration of p we must remember that the flux of cp is p - c . There- fore - p = iw.cp + iw ( p − ċ ) = ( iw ...
... ROLLING OF CENTRODES . 139 Now if p be any point in the moving plane , we know that at every instant piw.cp. To find the acceleration of p we must remember that the flux of cp is p - c . There- fore - p = iw.cp + iw ( p − ċ ) = ( iw ...
Página 140
... rolling centrodes , we have W 1 1 8 = - T1 rri and s = @ r - r1 CURVATURE OF ROULETTE . We may derive some important consequences from the expression just obtained for the the acceleration of a point in the moving plane , namely p ...
... rolling centrodes , we have W 1 1 8 = - T1 rri and s = @ r - r1 CURVATURE OF ROULETTE . We may derive some important consequences from the expression just obtained for the the acceleration of a point in the moving plane , namely p ...
Página 141
... rolling motion . We can now determine the curvature of a roulette at any point . For since the normal acceleration is the squared velocity multiplied by the curvature , we have curvature of path of p = w2 . pc - w . ċ cos w * .pc2 1 cos ...
... rolling motion . We can now determine the curvature of a roulette at any point . For since the normal acceleration is the squared velocity multiplied by the curvature , we have curvature of path of p = w2 . pc - w . ċ cos w * .pc2 1 cos ...
Otras ediciones - Ver todas
Elements of Dynamic; An Introduction to the Study of Motion and Rest in ... William Kingdon Clifford,Robert Tucker Sin vista previa disponible - 2016 |
Elements of Dynamic; An Introduction to the Study of Motion and Rest in ... William Kingdon Clifford,Robert Tucker Sin vista previa disponible - 2016 |
Elements of Dynamic; An Introduction to the Study of Motion and Rest in ... William Kingdon Clifford,Robert Tucker Sin vista previa disponible - 2016 |
Términos y frases comunes
abcd acceleration angular velocity approximately axes axis ca² called centimeter centrode circle circulation round College component conic section conjugate diameters constant cross-ratio Crown 8vo curvature curve of positions cycloidal cylinder cylindroid described direction displacement draw eccentric anomalies Edition ellipse equal equation equipotential surface Fcap fixed point flux function Hence hodograph homogeneous strain hyperbola hyperboloid infinite instant interval inverse length lines of flow magnitude mean velocity moving plane moving point multiplied numerous Illustrations orbit Owens College parabola parallelogram path perpendicular Professor projection quantity radius rate of change ratio represented resultant right angles rigid body rotation SCIENCE SCIENTIFIC CATALOGUE screw shew simple harmonic motion sphere spin step straight line strain-flux suppose surfaces of revolution theorem tion translation triangles twist uniform circular motion vector velocity-potential velocity-system zero
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