Influence of mass of cone spring on oscillatory period

Feng, Zhipeng; Tang, Bai-qing; Shen, Zhong-ping; Dai, Chao-Qing; Zhang, Jie-Fang

doi:10.1016/j.jsv.2006.01.010

Cited by 2 publications

(1 citation statement)

References 7 publications

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“…We believe that this difference is because the reported value of G is for a straight wire, while the value of G found in this work is obtained from a series of springs with different natural lengths l 0 . Another fact that could partially explain the difference is that the ratio between the diameter d of the wire from which the spring is made and the diameter of the coil of the spring generates a series of approximations on the shear modulus G, as shown in previous works [13].…”

Section: Influence Of the Natural Length L 0 Of The Spring On Oscilla...mentioning

confidence: 88%

The influence of spring length on the physical parameters of simple harmonic motion

Triana¹,

Fajardo²

2011

Eur. J. Phys.

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The aim of this work is to analyse the influence of spring length on the simple harmonic motion of a spring–mass system. In particular, we study the effect of changing the spring length on the elastic constant k, the angular frequency ω and the damping factor γ of the oscillations. To characterize the behaviour of these variables we worked with a series of springs of seven different lengths, in which the elastic constant was found by means of the spring-elongation measurement and ω was obtained from the measurement of the oscillation period T of a suspended mass. The oscillatory movement was recorded using a force sensor and the γ value was determined by the fit of the envelope oscillations. Graphical analysis of the results shows that k, ω and γ decrease when the natural spring length increases. This experiment can be performed with equipment normally found in undergraduate physics laboratories. In addition, through graphical analysis students can deduce some relationships between variables that determine the simple harmonic motion behaviour.

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Section: Influence Of the Natural Length L 0 Of The Spring On Oscilla...mentioning

confidence: 88%