Elements of Natural Philosophy |
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Page 67
... 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 68
... 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 body . If the ...
... 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 body . If the ...
Page 77
... couple about that axis . Hence a constant couple gives uniform acceleration of angular By § 178 we see that the corresponding velocity ; or = = Couple Mk formula for linear acceleration is $ = & = Force M 237. For every rigid body there ...
... couple about that axis . Hence a constant couple gives uniform acceleration of angular By § 178 we see that the corresponding velocity ; or = = Couple Mk formula for linear acceleration is $ = & = Force M 237. For every rigid body there ...
Page 134
... couple tending to turn the bar , and Wits weight , we have sin 0 Wa T I - 4a2 sin ' 12 2 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 the ...
... couple tending to turn the bar , and Wits weight , we have sin 0 Wa T I - 4a2 sin ' 12 2 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 the ...
Page 141
... couple . To prove this , through D draw DH , equal and parallel to EF , and in it introduce a pair of balancing forces , each equal to EF . Of the five forces , three , DE , DH and FD , are in equilibrium , and may be removed ; and ...
... couple . To prove this , through D draw DH , equal and parallel to EF , and in it introduce a pair of balancing forces , each equal to EF . Of the five forces , three , DE , DH and FD , are in equilibrium , and may be removed ; and ...
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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