Elements of Natural Philosophy, Volume 1 |
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Page 31
... body revolve in succession through equal angles , but in opposite directions , about two parallel axes , it finally takes a position to which it could have been brought by a simple translation perpendicular to the lines of the body in ...
... body revolve in succession through equal angles , but in opposite directions , about two parallel axes , it finally takes a position to which it could have been brought by a simple translation perpendicular to the lines of the body in ...
Page 34
... body , with its centre at the fixed point C. All points of this sphere attached to the body will move on a sphere fixed in space . Hence the construction of § 91 may be made , only with great circles instead of straight lines ; and the ...
... body , with its centre at the fixed point C. All points of this sphere attached to the body will move on a sphere fixed in space . Hence the construction of § 91 may be made , only with great circles instead of straight lines ; and the ...
Page 35
... body revolves with angular velocities w , w , respectively . Α a With radius unity describe the arc AB , and in it take any point I. Draw Ia , Iẞ perpendicular to OA , OB respectively . Let the rota- tions about the two axes be such ...
... body revolves with angular velocities w , w , respectively . Α a With radius unity describe the arc AB , and in it take any point I. Draw Ia , Iẞ perpendicular to OA , OB respectively . Let the rota- tions about the two axes be such ...
Page 36
... body revolves , but no change in the angular velocity . 109. If a pyramid or cone of any form roll on a similar ... body which are momentarily at rest , the most general motion of a rigid body of which one point is fixed consists in the ...
... body revolves , but no change in the angular velocity . 109. If a pyramid or cone of any form roll on a similar ... body which are momentarily at rest , the most general motion of a rigid body of which one point is fixed consists in the ...
Page 37
... body into its actual position , such a motion as is treated in § 91 is farther required . But by § 91 this may be effected by rotation about a certain axis perpendicular to the plane S , unless the motion required belongs to the ...
... body into its actual position , such a motion as is treated in § 91 is farther required . But by § 91 this may be effected by rotation about a certain axis perpendicular to the plane S , unless the motion required belongs to the ...
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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