Vibrations and Waves · Problem 3-8

Forced vibrations and resonance — A.P. French

Physics — Waves · wire-oscillation-elastic

Problem

(a) An object of mass 0.5 kg is hung from the end of a steel wire of length 2 m and of diameter 0.5 mm. (Young's modulus =2×1011= 2 \times 10^{11} N/m2^2). What is the extension of the wire? (b) The object is lifted through a distance hh (thus allowing the wire to become slack) and is then dropped so that the wire receives a sudden jerk. The ultimate strength of steel is 1.1×1091.1 \times 10^9 N/m2^2. What is the largest possible value of hh if the wire is not to break?

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