Experimental Harmonic Motion; A Manual for the Laboratory

Experimental Harmonic Motion; A Manual for the Laboratory

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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. 1915 edition. Excerpt: ...and that, when 0=574-0 cm.2, 7=3-45 sees.2. Hence putting d' = 0 in (5) we have v, vr. v 54-72x1-625x574 10_ K0+K1+K, = 2 (ay-=- 13884 gm. cm.2. The value found directly was 14045 gm. cm.2 and thus the difference between the two values of (Ao+A'j+A) is less than 1 part in 200. Experiment 5. Dynamical determination of the ratio of couple to twist for a torsion wire. 40. Introduction. One of the most important applications of harmonic motion is the determination of the ratio of the couple to the twist when a system is capable of vibration about a vertical axis. In the present experiment the system is suspended by a torsion wire, and thus the restoring couple is proportional to the angle through which the system is twisted, unless the angle is so large that Hooke's law begins to fail. If the restoring couple is fi0 dyne-cm. when the angle is 6 radians and if the moment of inertia of the body about the axis of suspension is K gm. cm.3, the motion is harmonic and the periodic time T is given ( 33) by lJ--seconds (1) Hence, if K be calculated from the mass and dimensions of the body and if T be observed, we can find fi from the formula 41. Experimental details. The two ends of the wire AB (Fig. 13) are soldered into two pieces of rod C, D about cm. in diameter. The rod C is held in a suitable firm clamp so that the wire is vertical and the rod D passes through an inertia bar E, being secured by a set-screw S. The time occupied by a large number of complete vibrations is found at least twice, the observation in each case extending over at least two or three minutes--the longer the better, if accuracy is required. The mean time of Sfh a complete vibration (T sees.) is' p then deduced. Unless the time-Fig. 13. piece in use be known to be keeping...show more

Product details

  • Paperback | 28 pages
  • 189 x 246 x 2mm | 68g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 123659357X
  • 9781236593573