Elements of Natural Philosophy |
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Page 7
... components of the whole velocity in the three mutually perpendicular directions N. , E. , and up . 80. 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 . 80. 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 the laws of composition and resolution of accelerations are the same as those of velocities . We therefore expand the definition just given , thus : —Acceleration is the rate ...
... component velocity in a stated direction , it is evident that the laws of composition and resolution of accelerations are the same as those of velocities . We therefore expand the definition just given , thus : —Acceleration is the rate ...
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 ( § 34 ) , that is , by multiply , ing by the cosine of the ...
... 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 ( § 34 ) , that is , by multiply , ing by the cosine of the ...
Page 11
... components of the velocity in three rectangular directions , at any time , or , as is most commonly the case , for any ... component velocity parallel to each of two rectangular axes is proportional to its dis tance from that axis , the ...
... components of the velocity in three rectangular directions , at any time , or , as is most commonly the case , for any ... 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 cord corresponding 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 formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative 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 tion torsion uniform unit vertical weight whole wire