Elements of Natural Philosophy, Part 1 |
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Page 20
... figure . An arc of the circle referred to , or any convenient angular reck- oning of it , measured from any fixed point to the uniformly moving point Q , is the Argument of the harmonic motion . [ The distance of a point , performing a ...
... figure . An arc of the circle referred to , or any convenient angular reck- oning of it , measured from any fixed point to the uniformly moving point Q , is the Argument of the harmonic motion . [ The distance of a point , performing a ...
Page 26
... figure QPOP is a parallelogram , and therefore Q is in the position of the displacement compounded of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines , of phases differing by a quarter period , are ...
... figure QPOP is a parallelogram , and therefore Q is in the position of the displacement compounded of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines , of phases differing by a quarter period , are ...
Page 27
... take place in perpendicular directions . Also , it is easy to see that we can only have a reëntering curve when their periods are commensurable . The following figures represent the paths produced by the com- KINEMATICS . 27.
... take place in perpendicular directions . Also , it is easy to see that we can only have a reëntering curve when their periods are commensurable . The following figures represent the paths produced by the com- KINEMATICS . 27.
Page 28
William Thomson Baron Kelvin, Peter Guthrie Tait. The following figures represent the paths produced by the com- bination of simple harmonic motions of equal ... figure . 87. If the radii of the component motions are equal 28 PRELIMINARY .
William Thomson Baron Kelvin, Peter Guthrie Tait. The following figures represent the paths produced by the com- bination of simple harmonic motions of equal ... figure . 87. If the radii of the component motions are equal 28 PRELIMINARY .
Page 30
... figure in its own plane , and this , as far as kinematics is concerned , is entirely summed up in the result of the next section . 91. If a plane figure be displaced in any way in its own plane , there is always ( with an exception ...
... figure in its own plane , and this , as far as kinematics is concerned , is entirely summed up in the result of the next section . 91. If a plane figure be displaced in any way in its own plane , there is always ( with an exception ...
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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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