Treatise on Natural Philosophy, Volume 1, Part 1At the University Press, 1879 - Mechanics, Analytic |
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Page xii
... Centre of Inertia Centre of Inertia . 229 , 230 Moment - Moment of a Force about a Point - Moment of a Force about an Axis • 231 , 232 233 234 Digression on Projection of Areas Couple - its Moment , Arm , and Axis Moment of Velocity - ...
... Centre of Inertia Centre of Inertia . 229 , 230 Moment - Moment of a Force about a Point - Moment of a Force about an Axis • 231 , 232 233 234 Digression on Projection of Areas Couple - its Moment , Arm , and Axis Moment of Velocity - ...
Page 82
... centre ) , and imagine a circular post or pivot of radius BI to be fixed to the earth with its centre at B. This ... inertia than the other two , equal ) ; and the seemingly irregular evolutions of an ill - thrown quoit belong to Class III .
... centre ) , and imagine a circular post or pivot of radius BI to be fixed to the earth with its centre at B. This ... inertia than the other two , equal ) ; and the seemingly irregular evolutions of an ill - thrown quoit belong to Class III .
Page 222
... Inertia . tion of motion , and M- towards the centre of curvature of the P path ; and , if we choose , we may exhibit the whole acceleration dx of momentum by its three rectangular components Md My dt ' d2z Ꮇ , or , according to the ...
... Inertia . tion of motion , and M- towards the centre of curvature of the P path ; and , if we choose , we may exhibit the whole acceleration dx of momentum by its three rectangular components Md My dt ' d2z Ꮇ , or , according to the ...
Page 230
... inertia . 227. Forces ( since they involve only direction and magni- tude ) may be represented , as velocities are ... centre of tances of any group of points from these planes , is at a distance from any plane whatever , equal to ...
... inertia . 227. Forces ( since they involve only direction and magni- tude ) may be represented , as velocities are ... centre of tances of any group of points from these planes , is at a distance from any plane whatever , equal to ...
Page 231
... centre of is to say , let to definition inertia . * = 1 2 x + x + etc. Y1 + y + etc. = " 22 ༧ . + - 2 , + etc. i Thus , if p1 , P , etc. , and p , denote the distances of the points in question ... Centre Inertia Centre of Inertia 229,
... centre of is to say , let to definition inertia . * = 1 2 x + x + etc. Y1 + y + etc. = " 22 ༧ . + - 2 , + etc. i Thus , if p1 , P , etc. , and p , denote the distances of the points in question ... Centre Inertia Centre of Inertia 229,
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Common terms and phrases
acceleration action algebraic altered angular velocity anticlastic application axis Cambridge centre of inertia circle co-ordinates coefficients component condition configuration constant corresponding course curvature curve cycloidal cylinder denote determined differential equation direction cosines displacement distance dt dt dx dy dy dy dy dz ellipsoid elongation equal equations of motion equilibrium expression finite fixed force formula function geometrical given gyrostatic harmonic motions Hence impulse infinitely small instant integral kinetic energy length linear momentum moving negative osculating plane P₁ parallel particle perpendicular polygon position principal axes quadratic quadratic function quantity radius ratio rectangular resultant right angles rigid body rolling roots rotation round shear simple harmonic simple harmonic motions solution spherical harmonic spherical surface St John's College strain suppose tangent plane theorem tion values whole Y₁ λ² аф
Popular passages
Page 241 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.