In each of the questions below, hanging a mass m from a spring stretches the spring L meters from its unloaded length. Calculate the spring constant k, write the differential equation that governs the motion of the undamped mass-spring system, and find the solution that satisfies the initial conditions specified. Units are mks; gravitational constant is 9.8 m/s². m = 0.5 kg and L = 0.6125meters Initial displacement is 0.2 and initial velocity is 0.7 k= kg/s2 x" + X = 0 x(t) = m = 0.3 kg and L = 9.8000 meters Initial displacement is 0.1 and initial velocity is 0.6 k= kg/s2 x" + X = 0 x(t) = m = 0.4 kg and L = 0.3920 meters Initial displacement is 0.7 and initial velocity is 0.4 k = kg/s² X = 0 x" + x(t) =

In each of the questions below, hanging a mass m from a spring stretches the spring L meters from its unloaded length. Calculate the spring constant k, write the differential equation that governs the motion of the undamped mass-spring system, and find the solution that satisfies the initial conditions specified. Units are mks; gravitational constant is 9.8 m/s². m = 0.5 kg and L = 0.6125meters Initial displacement is 0.2 and initial velocity is 0.7 k= kg/s2 x" + X = 0 x(t) = m = 0.3 kg and L = 9.8000 meters Initial displacement is 0.1 and initial velocity is 0.6 k= kg/s2 x" + X = 0 x(t) = m = 0.4 kg and L = 0.3920 meters Initial displacement is 0.7 and initial velocity is 0.4 k = kg/s² X = 0 x" + x(t) =

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 81AP: Consider the equation s=s0+v0t+a0t2/2+j0t3/6+s0t4/24+ct5/120 , were s is a length and t is a time....

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