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  2. Mersenne's laws - Wikipedia

    en.wikipedia.org/wiki/Mersenne's_laws

    If the tension on a string is ten lbs., it must be increased to 40 lbs. for a pitch an octave higher. [1] A string, tied at A , is kept in tension by W , a suspended weight, and two bridges, B and the movable bridge C , while D is a freely moving wheel; all allowing one to demonstrate Mersenne's laws regarding tension and length [ 1 ]

  3. Tension (physics) - Wikipedia

    en.wikipedia.org/wiki/Tension_(physics)

    String-like objects in relativistic theories, such as the strings used in some models of interactions between quarks, or those used in the modern string theory, also possess tension. These strings are analyzed in terms of their world sheet, and the energy is then typically proportional to the length of the string. As a result, the tension in ...

  4. Catenary - Wikipedia

    en.wikipedia.org/wiki/Catenary

    A chain hanging from points forms a catenary. The silk on a spider's web forming multiple elastic catenaries.. In physics and geometry, a catenary (US: / ˈ k æ t ən ɛr i / KAT-ən-err-ee, UK: / k ə ˈ t iː n ər i / kə-TEE-nər-ee) is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends in a uniform gravitational field.

  5. String vibration - Wikipedia

    en.wikipedia.org/wiki/String_vibration

    Vibration, standing waves in a string. The fundamental and the first 5 overtones in the harmonic series. A vibration in a string is a wave. Resonance causes a vibrating string to produce a sound with constant frequency, i.e. constant pitch. If the length or tension of the string is correctly adjusted, the sound produced is a musical tone.

  6. Violin acoustics - Wikipedia

    en.wikipedia.org/wiki/Violin_acoustics

    The static forces acting on the bridge are large, and dependent on the tension in the strings: [35] 20 lb f (89 N) passes down through the bridge as a result of a tension in the strings of 50 lb f (220 N). [36] The string 'break' angle made by the string across the bridge affects the downward force, and is typically 13 to 15° to the horizontal ...

  7. Hamming distance - Wikipedia

    en.wikipedia.org/wiki/Hamming_distance

    In information theory, the Hamming distance between two strings or vectors of equal length is the number of positions at which the corresponding symbols are different. In other words, it measures the minimum number of substitutions required to change one string into the other, or equivalently, the minimum number of errors that could have transformed one string into the other.

  8. Damerau–Levenshtein distance - Wikipedia

    en.wikipedia.org/wiki/Damerau–Levenshtein_distance

    The difference between the two algorithms consists in that the optimal string alignment algorithm computes the number of edit operations needed to make the strings equal under the condition that no substring is edited more than once, whereas the second one presents no such restriction. Take for example the edit distance between CA and ABC.

  9. Atwood machine - Wikipedia

    en.wikipedia.org/wiki/Atwood_machine

    An equation for the acceleration can be derived by analyzing forces. Assuming a massless, inextensible string and an ideal massless pulley, the only forces to consider are: tension force (T), and the weight of the two masses (W 1 and W 2). To find an acceleration, consider the forces affecting each individual mass.