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 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 applied attraction axes axis called Cambridge centre of gravity centre of inertia circle co-ordinates component configuration consider constant corresponding cosine couple curvature curve Demy 8vo denote density described diagram direction of motion displacement distance Edited elastic ellipse ellipsoid elongation equal equations equilibrium external point fixed point fluid forces acting friction geometrical given force Hence hodograph inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal P₁ parallel parallelogram particle path pendulum perpendicular portion position pressure principal axes principle produce projection proportional quantity radius reckoned resultant right angles rigid body rotation round shear shell simple harmonic motion solid solid angle space spherical surface spiral square St John's College straight line strain suppose tangent tion torsion uniform unit University of Cambridge vertical whole wire
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