Elements of Natural Philosophy, Part 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 mutuò 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 mutuò 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 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