An Elementary Course of Physics

An Elementary Course of Physics

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1907 edition. Excerpt: ...will appear to stop at the points A and L, and to be moving most quickly as it passes through F and F1. The apparent motion in the path APQROSTVL, and back again, forms what is known as a Simple Harmonic Motion. ' The length OA or OL of the apparent half-swing is called the amplitude of the motion. The simple pendulum (see Fig. 1) very nearly moves with Simple Harmonic Motion when the are AB of the swing is small, or when the string AC is long, so that the path AB of the ball of the pendulum differs little from a straight line. In this case, half the length AB is of the swing. The period of a Simple Harmonic Motion is the time of a complete swing backwards and forwards: or more precisely, the time which elapses between the passage of the moving body through one particular point, and its next passage in the same ' direction through that point. Thus, in Fig. 3 the period is the time it takes for the ball to move right round the circle, e.g. from C to C again, which in the Simple Harmonic Motion corresponds to the interval of time between two consecutive passages through Q in the direction EW. The phase of the moving particle at any particular instant is the fraction of a period that has elapsed since it last passed through the central point in the positive direction. Thus in Fig. 3, if we take the instant that the particle appears to pass through O in the direction WE as the point of time to measure from, then when it passes through A its phase will be a quarter of a period; when it passes through Q in the direction EW its phase will be of a period, and so on. Composition of a Simple Harmonic Motion with Uniform Rectilinear Motion.--If we replace the ball of the pendulum (Fig. l) by a funnel with a narrow outlet more

Product details

  • Paperback | 214 pages
  • 189 x 246 x 11mm | 390g
  • United States
  • English
  • black & white illustrations
  • 1236890795
  • 9781236890795