Elements of Natural Philosophy, Volume 1 |
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Page 8
... square root of the sum of their squares ; and the cosines of its inclination to the given direc- tions are the ratios of the components to the resultant . 32. The velocity of a point is said to be accelerated or retarded according as it ...
... square root of the sum of their squares ; and the cosines of its inclination to the given direc- tions are the ratios of the components to the resultant . 32. The velocity of a point is said to be accelerated or retarded according as it ...
Page 10
... 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 to an acceleration ...
... 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 to an acceleration ...
Page 16
... square of the distance from this point . The same proposition is true for any path , when the acceleration is towards the point about which the angles are measured : being merely a different mode of stating the result of § 48 . 60. The ...
... square of the distance from this point . The same proposition is true for any path , when the acceleration is towards the point about which the angles are measured : being merely a different mode of stating the result of § 48 . 60. The ...
Page 17
... square of the distance of the moving point from the fixed point . 62. From §§ 61 , 52 , it follows that when a particle moves with acceleration towards a fixed point , varying inversely as the square of the distance , its orbit is a ...
... square of the distance of the moving point from the fixed point . 62. From §§ 61 , 52 , it follows that when a particle moves with acceleration towards a fixed point , varying inversely as the square of the distance , its orbit is a ...
Page 35
... square of the resultant angular velocity is the sum of the squares of its components , and the ratios of the three components to the resultant are the direction - cosines of the axis . Hence also , an angular velocity about any line may ...
... square of the resultant angular velocity is the sum of the squares of its components , and the ratios of the three components to the resultant are the direction - cosines of the axis . Hence also , an angular velocity about any line may ...
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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