Elements of Natural Philosophy, Volume 1 |
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Page 62
... acting in dissimilar direc- tions in parallel lines . The Moment of a couple is the sum of the moments of its forces about any point in their plane , and is therefore equal to the product of either force into the shortest distance ...
... acting in dissimilar direc- tions in parallel lines . The Moment of a couple is the sum of the moments of its forces about any point in their plane , and is therefore equal to the product of either force into the shortest distance ...
Page 63
... acting through unit space . In lifting coals from a pit , the amount of work done is proportional to the weight of the coals lifted ; that is , to the force overcome in raising them ; and also to the height through which they are raised ...
... acting through unit space . In lifting coals from a pit , the amount of work done is proportional to the weight of the coals lifted ; that is , to the force overcome in raising them ; and also to the height through which they are raised ...
Page 67
... acting forces . Hence The resultant of any number of forces ( applied at one point ) is to be found by the same geometrical process as the resultant of any number of simultaneous velocities . 222. From this follows at once ( § 31 ) the ...
... acting forces . Hence The resultant of any number of forces ( applied at one point ) is to be found by the same geometrical process as the resultant of any number of simultaneous velocities . 222. From this follows at once ( § 31 ) the ...
Page 70
... acting on points of the system form , with the reactions against acce- leration , an equilibrating set of forces on the whole system . This is the celebrated principle first explicitly stated , and very usefully applied , by D'Alembert ...
... acting on points of the system form , with the reactions against acce- leration , an equilibrating set of forces on the whole system . This is the celebrated principle first explicitly stated , and very usefully applied , by D'Alembert ...
Page 71
... acting mutually between them and some other matter not belonging to them ; also that the centre of inertia of any body or system of bodies moves just as all their matter , if concentrated in a point , would move under the influence of ...
... acting mutually between them and some other matter not belonging to them ; also that the centre of inertia of any body or system of bodies moves just as all their matter , if concentrated in a point , would move under the influence of ...
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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