Elements of Natural Philosophy, Volume 1 |
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Page 59
... Centre of Inertia or Mass of a system of equal material points ( whether connected with one another or not ) is the point whose distance is equal to their average distance from any plane whatever ( § 194 ) . A group of material points ...
... Centre of Inertia or Mass of a system of equal material points ( whether connected with one another or not ) is the point whose distance is equal to their average distance from any plane whatever ( § 194 ) . A group of material points ...
Page 60
... Centre of Inertia or Mass is thus a perfectly definite point in every body , or group of bodies . The term Centre of Gravity is often very inconveniently used for it . The theory of the resultant action of gravity , which will be given ...
... Centre of Inertia or Mass is thus a perfectly definite point in every body , or group of bodies . The term Centre of Gravity is often very inconveniently used for it . The theory of the resultant action of gravity , which will be given ...
Page 61
... Moment of Inertia of the system about this axis ; and the second proposition above is equivalent to- The moment of inertia of a system about any axis is equal to the moment of inertia about a parallel axis through the centre of inertia ...
... Moment of Inertia of the system about this axis ; and the second proposition above is equivalent to- The moment of inertia of a system about any axis is equal to the moment of inertia about a parallel axis through the centre of inertia ...
Page 65
... moment of momentum of the universe ( if finite ) round its centre of inertia is the greatest , which is clearly determinable from the actual motions at any instant , is fixed in direction in space . 212. We may logically convert the ...
... moment of momentum of the universe ( if finite ) round its centre of inertia is the greatest , which is clearly determinable from the actual motions at any instant , is fixed in direction in space . 212. We may logically convert the ...
Page 70
... centre of inertia and moment of momentum , a number of important propo- sitions such as the following : -- ( a ) The centre of inertia of a rigid body moving in any manner , but free from external forces , moves uniformly in a straight ...
... centre of inertia and moment of momentum , a number of important propo- sitions such as the following : -- ( a ) The centre of inertia of a rigid body moving in any manner , but free from external forces , moves uniformly in a straight ...
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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