Elements of Natural Philosophy, Volume 1 |
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Page 7
... amount of the velocity is not sufficient completely to describe the motion , and we must have in every such case additional data to thoroughly specify the motion . In such cases as this the method most commonly employed , whether we ...
... amount of the velocity is not sufficient completely to describe the motion , and we must have in every such case additional data to thoroughly specify the motion . In such cases as this the method most commonly employed , whether we ...
Page 9
... amount of acceleration is the rate of change of velocity , and is therefore measured by the velocity of P in the curve PQ . 36. Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to determine the direction ...
... amount of acceleration is the rate of change of velocity , and is therefore measured by the velocity of P in the curve PQ . 36. Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to determine the direction ...
Page 10
... amount of the acceleration in the circular path ABD . 37. The whole acceleration in any direction is the sum of the components ( in that direction ) of the accelerations parallel to any three rectangular axes - each component ...
... amount of the acceleration in the circular path ABD . 37. The whole acceleration in any direction is the sum of the components ( in that direction ) of the accelerations parallel to any three rectangular axes - each component ...
Page 14
... amount of the acceleration of the moving point . When the hodograph and its origin , and the velocity along it , or the time corresponding to each point of it , are given , the orbit may easily be shown to be determinate . [ An ...
... amount of the acceleration of the moving point . When the hodograph and its origin , and the velocity along it , or the time corresponding to each point of it , are given , the orbit may easily be shown to be determinate . [ An ...
Page 22
... amount of the maximum acceleration or retardation of phase , let CA be equal to the greater half - amplitude . From A as centre , with AB the less half- amplitude as radius , describe a circle . CB touching this circle represents the ...
... amount of the maximum acceleration or retardation of phase , let CA be equal to the greater half - amplitude . From A as centre , with AB the less half- amplitude as radius , describe a circle . CB touching this circle represents the ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centimetre centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance ellipse ellipsoid elongation equal equations equilibrium external point finite fixed point flexure fluid forces acting friction geometrical given force Hence hodograph horizontal infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ P₂ parallel parallelogram of forces particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular right angles rigid body rotation round shear shell sides simple harmonic motion solid angle space spherical surface spiral square straight line strain stress suppose tangent theorem theory tion torsion uniform unit vertical whole wire