Elements of Natural Philosophy, Volume 1 |
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Page 2
... path , if the path be a curve ; or the path itself if a straight line . This is evident from the definition of the tangent to a curve . 9. If the path be not straight the direction of motion changes from point to point , and the rate of ...
... path , if the path be a curve ; or the path itself if a straight line . This is evident from the definition of the tangent to a curve . 9. If the path be not straight the direction of motion changes from point to point , and the rate of ...
Page 9
... path , so the direction of acceleration of a moving point is to be found by the following construction : - From any point O draw lines OP , OQ , etc. , repre- senting in magnitude and direction the velocity of the moving point at every ...
... path , so the direction of acceleration of a moving point is to be found by the following construction : - From any point O draw lines OP , OQ , etc. , repre- senting in magnitude and direction the velocity of the moving point at every ...
Page 10
... path . The former of these changes the velocity , the other affects only the form of the path , or the direction of motion . Hence if a moving point be subject to an acceleration , constant or not , whose direction is continually perpen ...
... path . The former of these changes the velocity , the other affects only the form of the path , or the direction of motion . Hence if a moving point be subject to an acceleration , constant or not , whose direction is continually perpen ...
Page 11
... path described is a circle . ( b ) If a point moves in a plane , and its component velocity parallel to each of two rectangular axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal ...
... path described is a circle . ( b ) If a point moves in a plane , and its component velocity parallel to each of two rectangular axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal ...
Page 12
... path described is a parabola , whose axis is parallel to that direction . This is the case of a projectile moving in vacuo . For the velocity ( V ) in the original direction of motion remains unchanged ; and therefore , in time t , a ...
... path described is a parabola , whose axis is parallel to that direction . This is the case of a projectile moving in vacuo . For the velocity ( V ) in the original direction of motion remains unchanged ; and therefore , in time t , a ...
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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