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) =

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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(t) =
m = 0.3 kg
and
Initial displacement
k=
kg/s²
x" +
x(t) =
X = 0
x(t) =
x = 0
L = 9.8000 meters
is 0.1 and initial velocity is 0.6
m = 0.4 kg and L = 0.3920 meters
Initial displacement is 0.7 and initial velocity is 0.4
k=
kg/s²
x" +
X = 0
Transcribed Image Text: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(t) = m = 0.3 kg and Initial displacement k= kg/s² x" + x(t) = X = 0 x(t) = x = 0 L = 9.8000 meters is 0.1 and initial velocity is 0.6 m = 0.4 kg and L = 0.3920 meters Initial displacement is 0.7 and initial velocity is 0.4 k= kg/s² x" + X = 0
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