Elements of Natural Philosophy, Part 1 |
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Page 2
... direction unless where the velocity is zero , since ( as we shall afterwards see ) such would imply the action of an infinite force . It is useful to con- sider at the outset various theorems connected with the geometrical notion of the ...
... direction unless where the velocity is zero , since ( as we shall afterwards see ) such would imply the action of an infinite force . It is useful to con- sider at the outset various theorems connected with the geometrical notion of the ...
Page 3
... direction , of an arc of a plane curve , is the angle through which the tangent has turned as we pass from one extremity to the other . The average curvature of any portion is its whole curvature divided by its length . Suppose a line ...
... direction , of an arc of a plane curve , is the angle through which the tangent has turned as we pass from one extremity to the other . The average curvature of any portion is its whole curvature divided by its length . Suppose a line ...
Page 4
... direction of a flexible and inextensible cord stretched across part of its surface ; in practice ( to escape as much ... direction of the cord , the pulley B moves in the same direction , through half the space . ( 2 ) If there be two ...
... direction of a flexible and inextensible cord stretched across part of its surface ; in practice ( to escape as much ... direction of the cord , the pulley B moves in the same direction , through half the space . ( 2 ) If there be two ...
Page 7
... direction , we may have the whole velocity and the steepness of the incline given ; or we may express the same ideas thus - the train is moving simultaneously northward , eastward , and upward - and the motion as to amount and direction ...
... direction , we may have the whole velocity and the steepness of the incline given ; or we may express the same ideas thus - the train is moving simultaneously northward , eastward , and upward - and the motion as to amount and direction ...
Page 8
... directions , each component being found by multiplying the whole velocity by the cosine of the angle between its direction and that of the component . The velocity resolved in any direction is the sum of the resolved parts ( in that ...
... directions , each component being found by multiplying the whole velocity by the cosine of the angle between its direction and that of the component . The velocity resolved in any direction is the sum of the resolved parts ( in that ...
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Common terms and phrases
acceleration action amount angular velocity anticlastic applied attraction axes axis called Cambridge centre of gravity centre of inertia circle circular co-ordinates component configuration consider constant corresponding cosine couple curvature curve cylinder Demy 8vo denote density described diagram displacement distance edition elastic ellipse ellipsoid elongation equal equations equilibrium external point fixed point fluid forces acting friction geometrical given force Hence hodograph inclined infinitely small instant inversely kinetic energy length magnitude mass matter measured moment of inertia momentum moving normal P₁ P₂ parallel parallelogram particle path pendulum perpendicular portion position pressure principal axes principle produce projection proportional quantity radius radius of gyration reckoned resultant right angles rigid body rotation round shear shell simple harmonic motion solid solid angle space spherical surface spiral square straight line strain suppose tangent torsion uniform unit University of Cambridge vertical whole wire
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