Elements of Natural Philosophy |
From inside the book
Results 1-5 of 56
Page 10
... proportional to the square of the velocity and also to the curvature of the 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 ...
... proportional to the square of the velocity and also to the curvature of the 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 ...
Page 11
... 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 ( S $ 66 , 78 ) ...
... 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 ( S $ 66 , 78 ) ...
Page 13
... proportional to the times employed . Evidently there is no acceleration perpendicular to the plane con- taining the fixed point and the line of motion of the moving point at any instant ; and there being no velocity perpendicular to ...
... proportional to the times employed . Evidently there is no acceleration perpendicular to the plane con- taining the fixed point and the line of motion of the moving point at any instant ; and there being no velocity perpendicular to ...
Page 14
William Thomson Baron Kelvin, Peter Guthrie Tait. by the radius - vector are proportional to the times ; for , as we have seen , the moment of the velocity is double the area traced out by the radius - vector in unit of time . 48. Hence ...
William Thomson Baron Kelvin, Peter Guthrie Tait. by the radius - vector are proportional to the times ; for , as we have seen , the moment of the velocity is double the area traced out by the radius - vector in unit of time . 48. Hence ...
Page 15
... proportional to the velocity at P. Also SZ is perpendicular to the direction of motion PY , and thus the circular locus of Z is the hodograph turned through a right angle about S in the plane of the orbit . If APB be a parabola , AY is ...
... proportional to the velocity at P. Also SZ is perpendicular to the direction of motion PY , and thus the circular locus of Z is the hodograph turned through a right angle about S in the plane of the orbit . If APB be a parabola , AY is ...
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 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 vibrations weight whole wire