Vibratory Motion and SoundGinn, Heath, 1882 - Broj stranica: 135 |
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Stranica vi
... gives the mathematics of Lissajous ' curves , with accounts of some methods of tracing them . Chapter VII . breaks the monotony of a continuous thread of mathematical deduction by describing some very interesting mechanical ...
... gives the mathematics of Lissajous ' curves , with accounts of some methods of tracing them . Chapter VII . breaks the monotony of a continuous thread of mathematical deduction by describing some very interesting mechanical ...
Stranica ix
... give the resultant of two given motions on a scale of one - half . 23. Resultant of n motions can be obtained on a scale of one nth by a combination of n − 1 pantagraphs . a 12 CHAPTER III . COMPOSITION OF VIBRATIONS OF THE SAME PERIOD.
... give the resultant of two given motions on a scale of one - half . 23. Resultant of n motions can be obtained on a scale of one nth by a combination of n − 1 pantagraphs . a 12 CHAPTER III . COMPOSITION OF VIBRATIONS OF THE SAME PERIOD.
Stranica 2
... give sounds varying greatly in loud- ness according to the force employed in producing them ; but though this force influences the loudness , it does not influence the pitch , or music would be well nigh im- possible . 3. This constancy ...
... give sounds varying greatly in loud- ness according to the force employed in producing them ; but though this force influences the loudness , it does not influence the pitch , or music would be well nigh im- possible . 3. This constancy ...
Stranica 3
... give rise to musical sound ; and we shall commence our analysis . of vibratory motion by discussing the simplest conceiv- able case — the case of a particle vibrating in a straight line under the action of a force which urges it towards ...
... give rise to musical sound ; and we shall commence our analysis . of vibratory motion by discussing the simplest conceiv- able case — the case of a particle vibrating in a straight line under the action of a force which urges it towards ...
Stranica 17
... give the mean of the motions of two of them , a second to give the mean of the motions of the other two , and a third to give the mean of these two means . -- It is thus always possible to obtain by a combination of n - 1 pantagraphs ...
... give the mean of the motions of two of them , a second to give the mean of the motions of the other two , and a third to give the mean of these two means . -- It is thus always possible to obtain by a combination of n - 1 pantagraphs ...
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Uobičajeni izrazi i fraze
acceleration amplitude antinode approximately arithmetical mean auxiliary circle beats called centre CHAPTER COMPOSITION compound compressions and extensions constant crank curve denote described diagonal difference of phase displacement distance double ellipse elliptic harmonic motion epoch equal equation extreme positions fixed force fork give HARMONOGRAPH Hence Hooke's law horizontal interval length longitudinal maximum mean position mean value middle point musical nodes number of vibrations obtained opposite directions pantagraph parallel parallelogram particle pendulum period of vibration perpendicular pipe pitch plane produce projection prongs pulleys pulse quarter period radii radius ratio rectangle resultant revolving right angles round S.H. motions sides simple harmonic motion simple harmonic vibration simple tones slot sonorous undulations sound statical energy stationary undulation straight line string tangent tion toothed wheel tube uniform circular motions velocity of propagation vertical vibrations per second vibratory motion vt-x waves travelling y=a cos
Popularni odlomci
Stranica 107 - ... continues to vary uniformly with the rate denoted by dy at the given point, the value of-— will become constant. The generatrix will now continue to move uniformly in the direction of the curve at the( given point, and therefore the value which -~ has at this point is that of the trigonometrical tangent of the inclination of the curve to the axis of x at this point. The line now described by the generatrix is called a tangent line to the...
Stranica 36 - Now we have shown above that a positive value of the functional determinant <pu\f/v — <pv^u means that Z2 is on the positive side of Zi, so that in this case Z moves in the positive sense (that is, in the direction from the positive axis of x to the positive axis of y) with increasing values of a. With a negative value Z moves in the opposite direction. Let us now suppose that the curves x = const. and y — const. in the uv plane intersect except on a certain curve where their direcu FIG.
Stranica 40 - LENGTH, is the distance from any particle, to the next particle that is in a similar position in its path, and is moving in the same direction.
Stranica 91 - Since the velocity of propagation of a wave through any medium varies directly as the square root of the coefficient of elasticity and inversely as the square root of the density...
Stranica 91 - ... in one direction and then in the opposite, a series of compressions and extensions are produced in alternate succession. But each compressed portion tends to relieve itself by expanding into the neighbouring air, which is thus in its turn compressed, and the extended portions in like manner tend to communicate extension.
Stranica 60 - ... the equation of a parabola, whose vertex is at a distance b from the central point of the vibrations, and focus at the distance ^ from the vertex.
Stranica 60 - Of the other curves, the most interesting is the symmetrical figure of 8 which corresponds to 8 = — and 8= — — , the path being the same for both these cases, but traced in opposite directions.
Stranica 19 - B (Fig. 10) revolve round the same circle with equal and opposite angular velocities, they will meet at both ends of one fixed diameter.
Stranica 102 - ... a reversed pulse, which travels along the string from this end to the other, where it is again reflected and reversed.