P1.5.3.3 Torsion Pendulum (CASSY)

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Free rotational oscillations �V recording with CASSY.

This apparatus can be ordered as a complete set or individually for use with equipment your laboratory may already have. To select products for this experiment separately, use the item numbers listed at the bottom of this description to search and add to your cart.

The computer-assisted CASSY measured-value recording system is ideal for recording and evaluating the oscillations of the torsion pendulum. The numerous evaluation options enable a comprehensive comparison between theory and experiment. Thus, for example, the recorded data can be displayed as pathtime, velocity-time and acceleration-time diagrams or as a phase diagram (path-velocity diagram). The aim of the first experiment is to investigate free harmonic rotational oscillations of the general type f(t) = (f(0) · cosvt + G (0) · sinvt) · e-ut where v = ßv 2 0 – u2 v0 : characteristic frequency of torsion pendulum This experiment investigates the relationship between the initial deflection f(0) and the initial velocity v(0). In addition, the damping constant u is varied in order to find the current l0 which corresponds to the aperiodic limiting case. To investigate the transition between forced harmonic and chaotic oscillations, the linear restoring moment acting on the torsion pendulum is deliberately altered in the second experiment by attaching an additional weight to the pendulum. The restoring moment now corresponds to a potential with two minima, i.e. two equilibrium positions. When the pendulum is excited at a constant frequency, it can oscillate around the left minimum, the right minimum or back and forth between the two minima. At certain frequencies, it is not possible to predict when the pendulum will change from one minimum to another. The torsion pendulum is then oscillating in a chaotic manner.

Cat. No.Description Quantity
346 00 Torsion pendulum 1
562 793 Plug-in power supply for torsion pendulum 1
521 545 DC power supply 0 … 16 V, 5 A 1
337462 Combination light barrier 1
337464 Combination spoked wheel 1
524 074 Timer S 1
501 16 Multicore cable, 6-pole, 1.5 m
524 010 Sensor CASSY 1
524 200 CASSY Lab 1 Ammeter, DC, I 􀀩�n2 A, e.g.
531 120 Multimeter LD analog 20 1 301 07 Simple bench clamp 1
500 442 Connecting lead, blue, 100 cm 1 501 46 Pair of cables, 100 cm, red and blue 1
additionally required: PC with Windows 95/98/NT or higher 1