Young’s modulus determination for a vibrated metal ruler using Arduino

Abstract

The article introduces a low-cost Arduino sensor into the Young’s modulus determination laboratory for physics university students. A stainless steel ruler is used as a cantilever beam. Its free end attached a mass is slightly bent and released to make it oscillate as a simple harmonic motion. The Arduino sensor detects the moving mass’s frequency at different loaded forces. This technique shows an acceptable value of Young’s modulus for the used ruler.

A diffraction approach to assess the elastic properties of a nylon string

“…There are many approaches to determine Young's modulus that are of interest for Physics teaching [1][2][3][4][5][6][7][8][9][10][11]. In one of the early works published in 1965, [1] the authors used a brass wire which was anchored to hanging weights.…”

“…In [10] the length dependence of the audio frequency of a guitar string is used to determine its Young's modulus. In a very recent article [11], authors used an Arduino sensor to measure the bending frequency of a metal ruler and thus determine Young's modulus for the harmonic motion of the ruler.…”