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      Analysis of Friction, Spring and Wedging action

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            Abstract

            In this educational academic paper we will derive the equations of motion for a wedge in contact by friction with spherical object. This object is connected to a spring. We will approach the problem with Newtonian mechanics and compare this result with a Lagrangian approach and we will show that they with some restriction leads to the same result. The results from the equations of motion will be dicussed. The equations will then be numerically simulated for a number of different cases and the results will be analyzed.

            Content

            Author and article information

            Journal
            ScienceOpen Preprints
            ScienceOpen
            27 January 2021
            Affiliations
            [1 ] No affiliation
            Author information
            https://orcid.org/0000-0002-7713-4475
            Article
            10.14293/S2199-1006.1.SOR-.PPXEO6V.v2
            81166bac-85a2-44a6-9195-8ddf9e574b21

            This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

            History
            : 24 January 2021

            The datasets generated during and/or analysed during the current study are available from the corresponding author on reasonable request.
            Mechanical engineering

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