Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 1-5 of 81
Page 10
... axes - each component acceleration being found by the same rule as component velocities , that is , by multiplying by the cosine of the angle between the direction of the acceleration and the line along which it is to be resolved . 38 ...
... axes - each component acceleration being found by the same rule as component velocities , that is , by multiplying by the cosine of the angle between the direction of the acceleration and the line along which it is to be resolved . 38 ...
Page 11
... axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the centre of the curve at every instant ...
... axes is proportional to its dis- tance from that axis , the path is an ellipse or hyperbola whose principal diameters coincide with those axes ; and the acceleration is directed to or from the centre of the curve at every instant ...
Page 12
... 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 space Vt is described parallel to this ...
... 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 space Vt is described parallel to this ...
Page 14
... axis . Produce YS to cut the circle again in Z. Then YS SZ is constant , and therefore SZ is inversely as SF , that is , SZ is proportional to the velocity at P. Also 1 Proc . R. S. 1865 . SZ is perpendicular to the direction of motion ...
... axis . Produce YS to cut the circle again in Z. Then YS SZ is constant , and therefore SZ is inversely as SF , that is , SZ is proportional to the velocity at P. Also 1 Proc . R. S. 1865 . SZ is perpendicular to the direction of motion ...
Page 23
... axis of abscissae . It is the simplest possible form assumed by a vibrating string ; and when it is assumed that at each instant the motion of every particle of the string is simple harmonic . When the harmonic motion is complex , but ...
... axis of abscissae . It is the simplest possible form assumed by a vibrating string ; and when it is assumed that at each instant the motion of every particle of the string is simple harmonic . When the harmonic motion is complex , but ...
Other editions - View all
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