Consider a mass m connected to a spring with a stiffness constant k. If the frequency fo of such spring is given by: ƒ0 = 1 √k 2π m 1- Use the Dimensional analysis to find the dimensions of the spring constant k. 2- Compare these dimensions of k with those can be obtained from Hook's Law: F=-kx

Consider a mass m connected to a spring with a stiffness constant k. If the frequency fo of such spring is given by: ƒ0 = 1 √k 2π m 1- Use the Dimensional analysis to find the dimensions of the spring constant k. 2- Compare these dimensions of k with those can be obtained from Hook's Law: F=-kx

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 51P: Consider the physical quantities s,v,a, and t with dimensions [s]=L,[v]=LT1,[a]=LT2 and [t]=L ....

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Consider a mass m connected to a spring with a stiffness constant k. If the
frequency fo of such spring is given by: ƒ0 = 1 √k 2π m 1- Use the Dimensional
analysis to find the dimensions of the spring constant k. 2- Compare these
dimensions of k with those can be obtained from Hook's Law: F=-kx

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