Elements of Natural Philosophy, Volume 1 |
From inside the book
Results 6-10 of 21
Page 24
... harmonic motions in one line , of equal amplitudes and of periods which are as 1 : 2 and as 2 : 3 , the epochs being ... harmonic motions of one period , and of the same phase , superimposed , produce a single simple harmonic motion of ...
... harmonic motions in one line , of equal amplitudes and of periods which are as 1 : 2 and as 2 : 3 , the epochs being ... harmonic motions of one period , and of the same phase , superimposed , produce a single simple harmonic motion of ...
Page 25
... harmonic motion of P ' , in B'A ' , a quarter of a period behind that of the motion of P in BA . But , since A'OA , QPO , and QP'O are right angles , the figure QP'OP is a parallelogram , and therefore Q is in the position of the ...
... harmonic motion of P ' , in B'A ' , a quarter of a period behind that of the motion of P in BA . But , since A'OA , QPO , and QP'O are right angles , the figure QP'OP is a parallelogram , and therefore Q is in the position of the ...
Page 26
... harmonic motions of different kinds and in different lines . In general , whether these lines be in one plane or not , the line of motion returns into itself if the periods are commensurable ; and if not , not . This is evident without ...
... harmonic motions of different kinds and in different lines . In general , whether these lines be in one plane or not , the line of motion returns into itself if the periods are commensurable ; and if not , not . This is evident without ...
Page 27
... harmonic motions in one plane , such that the resultant of each group is uniform circular motion . If their periods are equal , we have a case belonging to those already treated ( § 80 ) , and conclude that the resultant is , in general ...
... harmonic motions in one plane , such that the resultant of each group is uniform circular motion . If their periods are equal , we have a case belonging to those already treated ( § 80 ) , and conclude that the resultant is , in general ...
Page 28
... harmonic motions , we must enunciate Fourier's Theorem , which is not only one of the most beautiful results of modern analysis , but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question ...
... harmonic motions , we must enunciate Fourier's Theorem , which is not only one of the most beautiful results of modern analysis , but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question ...
Other editions - View all
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