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 = 0.1 kg and L = 9.8000meters
Initial displacement is 0.3 and initial velocity is 0.3
k = kg/s2
x'' + x = 0
x(t) =
m = 0.3 kg and L = 0.3920 meters
Initial displacement is 0.8 and initial velocity is 1
k = kg/s2
x'' + x = 0
x(t) =
m = 0.4 kg and L = 2.4500 meters
Initial displacement is 0.4 and initial velocity is 0.7
k = kg/s2
x'' + x = 0
x(t) =
Answers: 2
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