Elements of Natural Philosophy, Volume 1 |
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Page 7
... components of the whole velocity in the three mutually perpendicular directions N. , E. , and up . 30. A velocity in any direction may be resolved in , and perpen- dicular to , any other direction . The first component is found by ...
... components of the whole velocity in the three mutually perpendicular directions N. , E. , and up . 30. A velocity in any direction may be resolved in , and perpen- dicular to , any other direction . The first component is found by ...
Page 8
... components in any three rectangular directions , each component being found by multiplying the whole velocity by the cosine of the angle between its direction and that of the component . The velocity resolved in any direction is the sum ...
... components in any three rectangular directions , each component being found by multiplying the whole velocity by the cosine of the angle between its direction and that of the component . The velocity resolved in any direction is the sum ...
Page 9
... component velocity in a stated direction , it is evident that its laws of composition and resolution are the same as those of velocity . We therefore expand the definition just given , thus : ā -Acceleration is the rate of change of ...
... component velocity in a stated direction , it is evident that its laws of composition and resolution are the same as those of velocity . We therefore expand the definition just given , thus : ā -Acceleration is the rate of change of ...
Page 10
... components ( in that direction ) of the accelerations parallel to any three rectangular axes - each component acceleration being found by the same rule as component velocities , that is , by multiplying by the cosine of the angle ...
... components ( in that direction ) of the accelerations parallel to any three rectangular axes - each component acceleration being found by the same rule as component velocities , that is , by multiplying by the cosine of the angle ...
Page 11
... components , be given , provided the velocity and its direction , as well as the position of the point , at any one ... component velocity parallel to each of two rectangular axes is proportional to its dis- tance from that axis , the ...
... components , be given , provided the velocity and its direction , as well as the position of the point , at any one ... component velocity parallel to each of two rectangular axes is proportional to its dis- tance from that axis , 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 Pā Pā 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