Elements of Natural Philosophy, Volume 1 |
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Page 28
... rigid body or group of points whose relative positions are unalterable . The simplest case we can consider is that of the motion of a plane figure in its own plane , and this , as far as kinematics is concerned , is entirely summed up ...
... rigid body or group of points whose relative positions are unalterable . The simplest case we can consider is that of the motion of a plane figure in its own plane , and this , as far as kinematics is concerned , is entirely summed up ...
Page 29
... rigid body , moving in any way subject to the condition that the points of any one plane in it remain always in a fixed plane in space . A ' B 95. There is yet a case in which the construction in § 91 is nugatory - that is when AA ' is ...
... rigid body , moving in any way subject to the condition that the points of any one plane in it remain always in a fixed plane in space . A ' B 95. There is yet a case in which the construction in § 91 is nugatory - that is when AA ' is ...
Page 34
... rigid body move in any way whatever , subject only to the condition that one of its points . remains fixed , there is always ( without exception ) one line of it through this point common to the body in any two positions . Consider a ...
... rigid body move in any way whatever , subject only to the condition that one of its points . remains fixed , there is always ( without exception ) one line of it through this point common to the body in any two positions . Consider a ...
Page 36
... body revolves , but no change in the angular velocity . 109. If a pyramid or cone of any form roll on a similar ... rigid body of which one point is fixed consists in the rolling of a cone fixed in the body upon a cone fixed in space ...
... body revolves , but no change in the angular velocity . 109. If a pyramid or cone of any form roll on a similar ... rigid body of which one point is fixed consists in the rolling of a cone fixed in the body upon a cone fixed in space ...
Page 38
... rigid body bounded by any curved surface to be touched at any point by another such body . Any motion of one on the other must be of one or more of the forms sliding , rolling , or spinning . The consideration of the first is so simple ...
... rigid body bounded by any curved surface to be touched at any point by another such body . Any motion of one on the other must be of one or more of the forms sliding , rolling , or spinning . The consideration of the first is so simple ...
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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