Violin string

Amber, or fossilized tree sap, is also made up of polymers. Pine trees contain a polymer called rosin. Violinists use rosin to make their bows slide more easily over the violins strings. Gymnasts also use rosin to improve their grips on uneven bars and other gymnastics equipment. Rosin is used in some kinds of soap, too. 

Keller, 1953] Keller, J. B. (1953). Bowing of violin strings, Comm. Pure Applied Math., 6 483-495. 

We could get the same answer in a different way, using de Broglie s relation A, = h/p (Problem 5-15). The wave representing the electron would have to vanish at the two walls, similar to the waves on a violin string. The longest possible wave we could fit into the box would have wavelength k = 2L. Such a wave would go through half a cycle between the two walls, and would be zero at each wall. 

This virus species derived its name from the town of Coxsackie in the state of New York, where virological evidence thereof was successfully obtained for the first time. Coxsackie viruses are assigned to the picornavirus group, consisting at present of 23 A and 6 B types. Coxsackie hepatitis with mesenchymal reactions, portal infiltration and focal hepatocellular necrosis sometimes occurs, especially in infants. Cholestatic, predominantly centrolobular forms of the disease, can develop in adults. A lethal course is extremely rare. (66-68) The course of infection with the Coxsackie type B4 or B5 virus may give rise to the Fitz-Hugh-Curtis syndrome with the development of the typical violin string-like adhesive strands. (65) (s. fig. 24.2)... 

Fig. 24.2 Fitz-Hugh-Curtis syndrome perihepatitis with violin string-like adhesions in gonorrhoeal infection...

The first few eigenfunctions and the corresponding probability distributions are plotted in Fig. 3.2. There is a close analogy between the states of this quantum system and the modes of vibration of a violin string. The patterns of standing waves on the string are, in fact, identical in form with the wavefunctions (3.24). 

A beam of energy is shined on a very pure sample of cesium-133. The atoms in the cesium are excited by the energy and give off radiation. That radiation vibrates back and forth, the way a violin string vibrates when plucked. Scientists measure the speed of that vibration. The second is officially defined as that speed of vibration multiplied by 9,192,631,770. 

A certain violin string has a mass per unit length of... 

Find the speed of propagation of a traveling wave in an infinite string with the same mass per unit length and the same tension force as the violin string in Exercise 8.16. Q... 

The basic difficulty in the Bohr model arises from the use of classical mechanics to describe the electronic motions in atoms. The evidence of atomic spectra, which show discrete frequencies, indicates that only certain energies of motion are allowed the electronic energy is quantized. However, classical mechanics allows a continuous range of energies. Quantization does occur in wave motion for example, the fundamental and overtone frequencies of a violin string. Hence Louis de Broglie suggested... 

C—NH—(CHjlj—C-bNH—(CHjlj climbing ropes, violin string... 

Buckley DA, Rogers S (1995) Fiddler s fingers violin string dermatitis. Contact Dermatitis 32 46-63... 

Yet work is not the only currency. Heat also plays a role in all manners of information processing. Beethoven transferred thermal energy from his hand to a pen as he applied notes to the paper. Heat was generated and dissipated by the pen at the point of contact. Heat is dissipated within the piano keys or violin strings by their contact with a performer. Heat is dispersed in the listener and score reader while they process the musical information. Information processing is not free of energy considerations because it entails the transfer of both work and heat. 

This model assumes that the electron behaves as a standing wave (wave-particle duality) and is subject to boundary conditions similar to those applied to the tension waves of a violin string fixed at both ends. The standing waves have nodes (regions of no vibration or zero electron density) and antinodes (regions of maximum vibration and maximum electron density). 

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