Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 1-5 of 23
Page 13
... momentum , as defined in Chapter II . First , consider two component motions , AB and AC , and let AD be their resultant ( § 31 ) . Their half - moments round the point are respectively the areas OAB , OCA . Now OCA , together with half ...
... momentum , as defined in Chapter II . First , consider two component motions , AB and AC , and let AD be their resultant ( § 31 ) . Their half - moments round the point are respectively the areas OAB , OCA . Now OCA , together with half ...
Page 57
... momentum the momentum of a unit of matter moving with unit velocity , the momentum of a mass M moving with velocity v is Mv . Change of Quantity of Motion , or Change of Momentum , is proportional to the mass moving and the change of ...
... momentum the momentum of a unit of matter moving with unit velocity , the momentum of a mass M moving with velocity v is Mv . Change of Quantity of Motion , or Change of Momentum , is proportional to the mass moving and the change of ...
Page 58
... momentum in the direction of motion . Suppose the velocity of a mass M to be changed from v to v , in any time ; the rate at which the kinetic energy has changed is T - — . § M ( v ,; — v ° ) = — M ( v , − v ) . § ( v , + v ) . T - Now ...
... momentum in the direction of motion . Suppose the velocity of a mass M to be changed from v to v , in any time ; the rate at which the kinetic energy has changed is T - — . § M ( v ,; — v ° ) = — M ( v , − v ) . § ( v , + v ) . T - Now ...
Page 65
... momentum in the same direction of a mass equal to the sum of the masses moving with a velocity equal to the velocity of the centre of inertia . 196. The mean of the squares of the distances of the centre of inertia , I , from each of ...
... momentum in the same direction of a mass equal to the sum of the masses moving with a velocity equal to the velocity of the centre of inertia . 196. The mean of the squares of the distances of the centre of inertia , I , from each of ...
Page 67
... Momentum . The laws of composition and resolution are the same as those already explained . 203. [ If the point of application of a force be displaced through a small space , the resolved part of the displacement in the direction of the ...
... Momentum . The laws of composition and resolution are the same as those already explained . 203. [ If the point of application of a force be displaced through a small space , the resolved part of the displacement in the direction of the ...
Other editions - View all
Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cord 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 particle path pendulum perpendicular plane perpendicular portion position 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 tion torsion uniform unit vertical weight whole wire