Elements of Natural Philosophy, Volume 1 |
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Page 53
... motion . 179. The Vis Viva , or Kinetic Energy , of a moving body is pro- portional to the mass and the square of the velocity , conjointly . If we adopt the same units of mass and velocity as DYNAMICAL LAWS AND PRINCIPLES . 53.
... motion . 179. The Vis Viva , or Kinetic Energy , of a moving body is pro- portional to the mass and the square of the velocity , conjointly . If we adopt the same units of mass and velocity as DYNAMICAL LAWS AND PRINCIPLES . 53.
Page 54
... energy as half the product of the mass and the square of its velocity . 180. Rate of Change of Kinetic Energy ( when defined as above ) is the product of the velocity into the component of acceleration of momentum in the direction of ...
... energy as half the product of the mass and the square of its velocity . 180. Rate of Change of Kinetic Energy ( when defined as above ) is the product of the velocity into the component of acceleration of momentum in the direction of ...
Page 64
... energy , if no other forces act on the body which can do work or have work done against them . If work be done against any forces , the increase of kinetic energy is less than in the former case by the amount of work so done . In virtue ...
... energy , if no other forces act on the body which can do work or have work done against them . If work be done against any forces , the increase of kinetic energy is less than in the former case by the amount of work so done . In virtue ...
Page 68
... energy in any form . This is perfectly supplied by 227. LEX III . Actioni contrariam semper et aequalem esse reactionem : sive corporum duorum actiones in se mutuņ semper esse aequales et in partes contrarias dirigi . To every action ...
... energy in any form . This is perfectly supplied by 227. LEX III . Actioni contrariam semper et aequalem esse reactionem : sive corporum duorum actiones in se mutuņ semper esse aequales et in partes contrarias dirigi . To every action ...
Page 71
... energy of any system is equal to the sum of the kinetic energies of a mass equal to the sum of the masses of the system , moving with a velocity equal to that of its centre of inertia , and of the motions of the separate parts ...
... energy of any system is equal to the sum of the kinetic energies of a mass equal to the sum of the masses of the system , moving with a velocity equal to that of its centre of inertia , and of the motions of the separate parts ...
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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 cloth co-ordinates component configuration consider constant cosine couple curvature curve cylinder denote density described diagram displacement distance elements ellipse ellipsoid elongation equal equations equilibrium external point Extra fcap finite 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 Natural Philosophy normal section Oxford P₁ parallel particle path pendulum perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant 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 theory tion torsion uniform unit vertical whole wire
Popular passages
Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.
Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.
Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.