Elements of Natural Philosophy, Part 1 |
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Page 50
... respectively to any three directions , and independent of each other . It is generally convenient to choose these three directions of resolution at right angles to one another . If the point be constrained to remain always on a given ...
... respectively to any three directions , and independent of each other . It is generally convenient to choose these three directions of resolution at right angles to one another . If the point be constrained to remain always on a given ...
Page 58
... respectively . Also the laws of composition and resolution of any number of forces acting at the same point , are , as we shall show later ( § 221 ) , the same as those which we have already proved to hold for velo- cities ; so that ...
... respectively . Also the laws of composition and resolution of any number of forces acting at the same point , are , as we shall show later ( § 221 ) , the same as those which we have already proved to hold for velo- cities ; so that ...
Page 64
... respectively the second and third , and to ignore the third entirely , though using it directly in every dynamical problem ; but all who have done so have been forced indirectly to acknowledge the incompleteness of their substitute for ...
... respectively the second and third , and to ignore the third entirely , though using it directly in every dynamical problem ; but all who have done so have been forced indirectly to acknowledge the incompleteness of their substitute for ...
Page 68
... respectively . In the case of uniform motion , the first of these vanishes , or the whole force is perpendicular to the direction of motion . When there is no force perpendicular to the direction of motion , there is no curvature , or ...
... respectively . In the case of uniform motion , the first of these vanishes , or the whole force is perpendicular to the direction of motion . When there is no force perpendicular to the direction of motion , there is no curvature , or ...
Page 72
... respectively to the doubles of the radii of gyration round them . This ellipsoid is called the Central Ellipsoid . 239. A rigid body is said to be kinetically symmetrical about its centre of inertia when its moments of inertia about ...
... respectively to the doubles of the radii of gyration round them . This ellipsoid is called the Central Ellipsoid . 239. A rigid body is said to be kinetically symmetrical about its centre of inertia when its moments of inertia about ...
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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