Elements of Natural Philosophy, Volume 1 |
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Page 11
... centre of the curve at every instant ( §§ 66 , 78 ) . ( c ) If the components of the velocity parallel to each axis ... gravity . In this case the space described in any interval is that which would be described in the same time by a point ...
... centre of the curve at every instant ( §§ 66 , 78 ) . ( c ) If the components of the velocity parallel to each axis ... gravity . In this case the space described in any interval is that which would be described in the same time by a point ...
Page 60
... Centre of Gravity is often very inconveniently used for it . The theory of the resultant action of gravity , which will be given under Abstract Dynamics , shows that , except in a definite class of distributions of matter , there is no ...
... Centre of Gravity is often very inconveniently used for it . The theory of the resultant action of gravity , which will be given under Abstract Dynamics , shows that , except in a definite class of distributions of matter , there is no ...
Page 79
... centre of inertia only is fixed , since , when its longest dimension is small in comparison with the earth's radius , gravity is , as we shall see , ap- proximately equivalent to a single force through this point . But if , when ...
... centre of inertia only is fixed , since , when its longest dimension is small in comparison with the earth's radius , gravity is , as we shall see , ap- proximately equivalent to a single force through this point . But if , when ...
Page 85
... centre of gravity , calculable from the principle that its whole momentum must ( § 233 ) be changed by an amount equal exactly to the momentum gained or lost by the first , have also a vibratory motion , of which the whole kinetic and ...
... centre of gravity , calculable from the principle that its whole momentum must ( § 233 ) be changed by an amount equal exactly to the momentum gained or lost by the first , have also a vibratory motion , of which the whole kinetic and ...
Page 126
... centre of gravity of the whole below the knife - edge , and the length of the beam . 3. Constancy . - Successive weighings of the same body must give the same result - all necessary corrections ( to be explained later ) de- pending on ...
... centre of gravity of the whole below the knife - edge , and the length of the beam . 3. Constancy . - Successive weighings of the same body must give the same result - all necessary corrections ( to be explained later ) de- pending on ...
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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