Elements of Natural Philosophy, Volume 1 |
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Page 1
... means of translating , as it were , from Kinematics into Dynamics , and vice versā . This is merely mentioned now in order to show the necessity for , and the value of , the preliminary matter we are about to introduce . 6. Thus it ...
... means of translating , as it were , from Kinematics into Dynamics , and vice versā . This is merely mentioned now in order to show the necessity for , and the value of , the preliminary matter we are about to introduce . 6. Thus it ...
Page 11
... mean of the initial and final velocities . For , since the velocity increases uniformly , its value at any time before the middle of the interval is as much less than this mean as its value at the same time after the middle of the ...
... mean of the initial and final velocities . For , since the velocity increases uniformly , its value at any time before the middle of the interval is as much less than this mean as its value at the same time after the middle of the ...
Page 12
William Thomson Baron Kelvin, Peter Guthrie Tait. mean : and hence its value at the middle of the interval must be the mean of its first and last values . In symbols ; if at time to the velocity was V , then at time t it is v = V + at ...
William Thomson Baron Kelvin, Peter Guthrie Tait. mean : and hence its value at the middle of the interval must be the mean of its first and last values . In symbols ; if at time to the velocity was V , then at time t it is v = V + at ...
Page 16
... . Even when the angular velocity is not uniform , as in T ́a planet's motion , it is useful to introduce the quantity , which is then called the mean angular velocity . 59. When a point moves uniformly in a straight line 16 PRELIMINARY .
... . Even when the angular velocity is not uniform , as in T ́a planet's motion , it is useful to introduce the quantity , which is then called the mean angular velocity . 59. When a point moves uniformly in a straight line 16 PRELIMINARY .
Page 20
... mean position or the middle of its range . [ In the formula above , put in the form n a cosm ( 1-2 ) , n is the epoch . ] Epoch in angular measure is the angle described on the circle of reference in the period of time defined as the ...
... mean position or the middle of its range . [ In the formula above , put in the form n a cosm ( 1-2 ) , n is the epoch . ] Epoch in angular measure is the angle described on the circle of reference in the period of time defined as the ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic attraction axis called centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant cord corresponding 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 formulae friction geometrical given force Hence hodograph horizontal inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal section P₁ parallel particle path pendulum perpendicular plane perpendicular portion position 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 tion torsion uniform unit vertical weight whole wire