Elements of Natural Philosophy |
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Page 30
... amount of the angle of rotation . 93. The lines equidistant from A and A ' , and from B. and B , are parallel if AB is parallel to A'B ' ; and therefore the construction fails , the point O being infinitely distant , and 30 PRELIMINARY .
... amount of the angle of rotation . 93. The lines equidistant from A and A ' , and from B. and B , are parallel if AB is parallel to A'B ' ; and therefore the construction fails , the point O being infinitely distant , and 30 PRELIMINARY .
Page 32
... amount of rotation about it which singly gives the same effect as those about A and B in succession . But there is ... amounts and opposite directions , compound one 32 PRELIMINARY .
... amount of rotation about it which singly gives the same effect as those about A and B in succession . But there is ... amounts and opposite directions , compound one 32 PRELIMINARY .
Page 33
William Thomson Baron Kelvin, Peter Guthrie Tait. ( of equal amounts and opposite directions , compound one of them with the given rotation by § 98 , and then compound the other with the resultant rotation by the same process . Or we may ...
William Thomson Baron Kelvin, Peter Guthrie Tait. ( of equal amounts and opposite directions , compound one of them with the given rotation by § 98 , and then compound the other with the resultant rotation by the same process . Or we may ...
Page 36
... amount of rotation about a definite axis . And hence , also , successive or simul- taneous rotations about any ... amounts of these displacements will be wẞ . r and — wła . T. The point I , and therefore every point in the line OI , will ...
... amount of rotation about a definite axis . And hence , also , successive or simul- taneous rotations about any ... amounts of these displacements will be wẞ . r and — wła . T. The point I , and therefore every point in the line OI , will ...
Page 48
... amount of shear are given , thus : -Let CC be the motion of one point of one plane , relative to a plane KL held fixed- the diagram being in a plane of the shear . Bisect CC in N. Draw NA perpendicular to it . A plane perpendicular to ...
... amount of shear are given , thus : -Let CC be the motion of one point of one plane , relative to a plane KL held fixed- the diagram being in a plane of the shear . Bisect CC in N. Draw NA perpendicular to it . A plane perpendicular to ...
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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 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 parallelogram particle path pendulum perpendicular plane perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular relative 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