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Practical Acoustics Volume 3, PT. 1

Practical Acoustics Volume 3, PT. 1


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1897 Excerpt: ...from two harmonic motions at right angles. One of these, that parallel to the plane of the frame, is of the same amplitude and period as if the weight had been displaced from its position of rest in this direction, while the angle of the cord remained stationary in a vertical plane; the other, at right angles to the frame, is executed by the entire length, reckoning from the middle of the under side of the crossbar to the weight. If we wish to obtain the curve combining harmonic motion of periods 1:2, we put the ring of the way down, counting from the top; and if the combination 2: 3, at-, and so on. The reason for this depends on the formula for a simple pendulum, t = /-, where t = ihe time of a single oscilla v y tion in seconds, Z = the length, and g the acceleration of gravity. The times are therefore directly as the square roots of the lengths, or what comes to the same thing, the number of vibrations in a given time varies inversely as the square roots of the length. For the 2: 3 combination, then, the shorter portion must be to the total as 4: 9, and reckoning from the top the ring r must be put f of the way down. Similarly, to obtain the ratio 3: 4 we make the shorter portion y9 of the whole, and put the ring at T7F from the top. If the paper, instead of being kept still, be moved with a uniform velocity in the direction of either of the component vibrations, we get the same curves as with the tuning-forks on pp. 115, 116. Lastly, when the paper itself moves with a harmonic vibration, as in certain "liarmonographs," curves of exquisite beauty are obtained. Experiment LXXXI Lissajous' Method The apparatus is shown in Fig. 50. Two large tuning-forks are fixed to firm and heavy supports, so that their planes of vibration are at right a...


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Product Details
  • ISBN-13: 9781130971118
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 48
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 1130971112
  • Publisher Date: 01 Mar 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 104 gr

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