Elements of Natural Philosophy, Part 1 |
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Page 62
... Couple is a pair of equal forces 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 ...
... Couple is a pair of equal forces 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 ...
Page 63
... couple , upon a body turning about an axis , is the product of the moment of either into the angle ( in circular measure ) through which the body acted on turns , if the moment remains the same in all positions of the DYNAMICAL LAWS AND ...
... couple , upon a body turning about an axis , is the product of the moment of either into the angle ( in circular measure ) through which the body acted on turns , if the moment remains the same in all positions of the DYNAMICAL LAWS AND ...
Page 64
... couple . The proof is obvious . 207. Work done on a body by a force is always shown by a cor- responding increase of vis viva , or kinetic energy , if no other forces act on the body which can do work or have work done against them . If ...
... couple . The proof is obvious . 207. Work done on a body by a force is always shown by a cor- responding increase of vis viva , or kinetic energy , if no other forces act on the body which can do work or have work done against them . If ...
Page 72
... couple about that axis . Hence a constant couple gives uniform acceleration of angular Couple velocity ; or = By 178 we see that the corresponding Mk2 formula for linear acceleration is s = v = i = Force M ' 237. For every rigid body ...
... couple about that axis . Hence a constant couple gives uniform acceleration of angular Couple velocity ; or = By 178 we see that the corresponding Mk2 formula for linear acceleration is s = v = i = Force M ' 237. For every rigid body ...
Page 128
... couple tending to turn the bar , and W its weight , we have Wa2 Q = 7 - sin 0 4a2 sin2 12 which gives the couple in terms of the deflection 0 . If the torsion of the fibres be taken into account , it will be sensibly equal to ( since ...
... couple tending to turn the bar , and W its weight , we have Wa2 Q = 7 - sin 0 4a2 sin2 12 which gives the couple in terms of the deflection 0 . If the torsion of the fibres be taken into account , it will be sensibly equal to ( since ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called Cambridge 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 ellipsoid elongation equal equations equilibrium external 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 Octavo P. G. TAIT P₁ P₂ parallel particle path pendulum perpendicular plane perpendicular portion position potential pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned rectangular resultant 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
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Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.