physics

The largest tension that can be sustained by a stretched string of linear mass density μ, even in principle, is given by τ = μc2, where c is the speed of light in vacuum. (This is an enormous value. The breaking tensions of all ordinary materials are about 12 orders of magnitude less than this.)

a) What is the speed of a traveling wave on a string under such tension?

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b) If a 1.190-m-long guitar string, stretched between anchored ends, were made of this hypothetical material, what frequency would its first harmonic have?

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c) If that guitar string were plucked at its midpoint and given a displacement of 2.17 mm there to produce the fundamental frequency, what would be the maximum speed attained by the midpoint of the string?

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