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A cable stretched between two buildings is observed to vibrate at the frequencie

ID: 1498154 • Letter: A

Question

A cable stretched between two buildings is observed to vibrate at the frequencies of 12.0 Hz, 16.0 Hz, 20.0 Hz, but never at frequencies in between these. The cable is 20 m long. Draw what the cable looks like when it vibrates at each of the frequencies given above. Clearly explain the reasoning leading to your drawings. Use your conclusions from to find the speed of waves on this cable. A tiny plastic bead has a mass of 4 00 Times 10^-4 kg and carries a charge of -2.00 nC. It is held between the plates of a parallel plate capacitor with square plates 10.0 cm on a side and a separation of 5.00 mm between the plates. The plates are horizontal. We want to be able to release the plastic bead and have it hover stationary between the plates. Which plate should be positive, and what charge is needed on each plate? What voltage needs to the applied across the plates to achieve the answer your found in part a)?

Explanation / Answer

fandamental frequency = v/2L

12 = V/2*20V

V = 12*40 =480m/s