Elements of Dynamic: An Introduction to the Study of Motion and Rest in Solid and Fluid Bodies, Volumer 1-3MacMillan and Company, 1878 |
Inni boken
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Side vi
... Spins 122 Composition of Spins 123 Velocity - Systems . Twists 125 Composition of Twists 126 Moments 132 Instantaneous motion of a Rigid Body 136 Curvature of Roulette 140 Instantaneous Axis 141 Degree of Freedom 143 Involute and ...
... Spins 122 Composition of Spins 123 Velocity - Systems . Twists 125 Composition of Twists 126 Moments 132 Instantaneous motion of a Rigid Body 136 Curvature of Roulette 140 Instantaneous Axis 141 Degree of Freedom 143 Involute and ...
Side viii
... Motion partly Irrotational Case of No Expansion 203 204 205 207 210 Squirts • Whirls 212 214 Vortices 216 Velocity in Terms of Expansion and Spin 219 BOOK I. TRANSLATIONS . CHAPTER I. STEPS . INTRODUCTION . viii CONTENTS .
... Motion partly Irrotational Case of No Expansion 203 204 205 207 210 Squirts • Whirls 212 214 Vortices 216 Velocity in Terms of Expansion and Spin 219 BOOK I. TRANSLATIONS . CHAPTER I. STEPS . INTRODUCTION . viii CONTENTS .
Side 121
... about the vertices through twice the exterior angles will bring the plane back to its original position . The corresponding theorems for a spherical surface are easily stated . CHAPTER II . VELOCITY - SYSTEMS . SPINS . WHEN.
... about the vertices through twice the exterior angles will bring the plane back to its original position . The corresponding theorems for a spherical surface are easily stated . CHAPTER II . VELOCITY - SYSTEMS . SPINS . WHEN.
Side 122
... SPINS . WHEN a body is rotating about a fixed axis with an- gular velocity w , every point in the body is describing a circle in a plane perpendi- cular to the axis , whose radius is the per- pendicular distance of the point from the ...
... SPINS . WHEN a body is rotating about a fixed axis with an- gular velocity w , every point in the body is describing a circle in a plane perpendi- cular to the axis , whose radius is the per- pendicular distance of the point from the ...
Side 123
... SPINS . P The resultant of two spins l , m about the points a , b in a plane , is a spin ( l + m ) about a point c , such that l . ca + m.cb = 0 . For the velocities of p due to the two spins are il . ap and im , bp , and their ...
... SPINS . P The resultant of two spins l , m about the points a , b in a plane , is a spin ( l + m ) about a point c , such that l . ca + m.cb = 0 . For the velocities of p due to the two spins are il . ap and im , bp , and their ...
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Elements of Dynamic: An Introduction to the Study of Motion and ..., Volum 1 William Kingdon Clifford Uten tilgangsbegrensning - 1878 |
Elements of Dynamic: An Introduction to the Study of Motion and ..., Volum 1 William Kingdon Clifford Uten tilgangsbegrensning - 1878 |
Elements of Dynamic: An Introduction to the Study of Motion and ..., Volumer 1-3 William Kingdon Clifford Uten tilgangsbegrensning - 1878 |
Vanlige uttrykk og setninger
abcd acceleration angular velocity approximately axes axis axode bisects ca² called centimeter centrode circle circulation round complex number component compound conjugate diameters constant cross-ratio curvature curve of positions cycloidal cylinder cylindroid described direction displacement draw eccentric anomalies ellipse ellipsoid equal equation equipotential surface expansion finite fixed point flux function given Hence hodograph homogeneous strain hyperbola hyperboloid instant interval inverse length lines of flow magnitude mean velocity moving plane moving point multiplied orbit parabola parallelogram path perpendicular projection quantity radius rate of change ratio represented resultant right angles rigid body rolling rotation scalar screw shew simple harmonic motion solid angle sphere spin step straight line strained position suppose surfaces of revolution theorem translation triangles twist uniform circular motion vector velocity-potential velocity-system vortex-filament zero
Populære avsnitt
Side 102 - A conic is the locus of a point whose distance from a fixed point called the focus is in a constant ratio to its distance from a fixed line, called the directrix.
Side 99 - E, &c., causing the body to describe in the successive intervals of time the straight lines CD, DE, EF, &c., these will all lie in the same plane ; and the triangle SCD will be equal to the triangle SBC, and SDE to SCD, and SEF to SDE. Therefore equal areas are described in the same...
Side iii - CLIFFORD- THE ELEMENTS OF DYNAMIC. An Introduction to the Study of Motion and Rest in Solid and Fluid Bodies.
Side 98 - ... fixed center of force, are in one fixed plane, and are proportional to the times of describing them. Let the time be divided into equal parts, and in the first interval let the body describe the straight line AB with uniform velocity, being acted on by no force. In the second interval it would, if no force acted, proceed to c in AB produced, describing Be equal to AB : so that the equal areas ASB, BSc described by radii AS, BS, cS drawn to the center S, would be completed in equal intervals.
Side 31 - A, it may be resolved into two components, one in the plane PCA and the other perpendicular to it, and both tangential to the spherical surface.
Side 103 - SP-HP=2a; that is, the difference of the focal distances of any point on the hyperbola is equal to the transverse axis. 219. The equation y* = -i (x2 — a2), may be written y=~. (xHence (see Fig. to Art. 213), _ AM.A'M~ AC*' Tangent and Normal to an Hyperbola.
Side 33 - ... the resultant of any number of simple harmonic motions of the same period and in the same line.