Standing Waves on a String.pdf - Standing Waves on a String...

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Standing Waves on a StringEquipment:Function GeneratorMechanical Driver (It is a speaker with a string is tied to the post.)Table Clamp with a pulley on a postBNC to alligator clips cableMass hangerSet of massesObjectives:To find the linear mass density of the string using the relationship between the number of segments inthe standing wave and the tension in the string along with the frequency of oscillation of the string.Introduction:When a stretched string is plucked, it will vibrate in its fundamental mode in a single segment with nodes oneach end. If the string is driven at this fundamental frequency, a standing wave is formed. Standing waves alsoform if the string is driven at any integer multiple of the fundamental frequency. These higher frequencies arecalled the harmonics.Each segment is equal to half a wavelength. In general for a given harmonic, the wavelength is given by:?(?/2) = 𝐿whereLis the length of the stretched string andnis the number of vibrating segments in the string.The linear mass density of the string can be directly measured by weighing a known length of the string. Thedensity is the mass of the string per unit length.? = ?/𝐿The linear mass density of the string can also be found by studying the relationship between the tension,frequency, length of the string, and the number of segments in the standing wave. To derive this relationship,the velocity of the wave is expressed in two ways.

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Term
Spring
Professor
MARKERT
Tags
linear mass density of the string