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# 5. Example: Stress, Extension, and Oscillating Frequency of a Steel Wire

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Lecture

In this mini-lecture, we go over an example that brings together all the concepts we’ve learned in mini-lectures 1-4. In this example, we calculate (i) the stress in a steel wire with a mass at the end; (ii) the extension of the wire due to the mass; and (iii) the oscillation frequency of the system.

Course

In this course, Professor Giles Hammond (University of Glasgow) explores elasticity and oscillations. In the first mini-lecture, we consider elasticity, stress, and strain of materials when forces are applied. In the second mini-lecture, we use the simple pendulum to discuss oscillations and the corresponding displacement, velocity, and acceleration equations of the oscillating motion. In the third mini-lecture, we introduce the concept of simple harmonic motion and use two systems, the simple pendulum and a mass on a spring, to understand it’s properties. In the fourth mini-lecture we discuss damping and resonance. In the fifth mini-lecture, we bring together what we have learned in an example that covers stress, extension, and oscillation frequency of a steel wire.

Lecturer

Giles Hammond is a Professor of Experimental Gravitational Physics at the University of Glasgow. His research interests focus on the development of fused silica suspension systems for gravitational wave detectors. He has made significant contributions to the development of the monolithic stages of quadruple pendulums used in the process of updating the components used in the Laser Interferometer Gravitational-Wave Observatory (LIGO) into the experiment now deemed Advanced LIGO (aLIGO). During this process, he led the installation of several suspensions at both the Hanford and Livingston aLIGO sites. This improved precision of aLIGO contributed to the first direct detection of gravitational waves in 2015, which led to the 2017 Nobel Prize in Physics.

#### Cite this Lecture

APA style

Hammond, G. (2022, January 12). Elasticity and Oscillations - Example: Stress, Extension, and Oscillating Frequency of a Steel Wire [Video]. MASSOLIT. https://massolit.io/courses/elasticity-and-oscillations/example-stress-extension-and-oscillating-frequency-of-a-steel-wire

MLA style

Hammond, Giles. "Elasticity and Oscillations – Example: Stress, Extension, and Oscillating Frequency of a Steel Wire." MASSOLIT, uploaded by MASSOLIT, 13 Jan 2022, https://massolit.io/courses/elasticity-and-oscillations/example-stress-extension-and-oscillating-frequency-of-a-steel-wire