# Transcribed Image Text: 8. A weight of mass 8 kg is suspended by a spring with k = 10 N/ m

Excerpt
apply the RK4 numerical recursion formula with h = 0.5. Do only one recursion where you generate the individual values of the k’s and l’s wch you will use to approximate the displacement at t = 0. 5.Use four decimal point accuracy in all calculations.

Transcribed Image Text: 8. A weight of mass 8 kg is suspended by a spring with k = 10 N/ m and c = 1.6 N s/m. The initial
displacement is 0 m and the initial velocity is () m/s. An external force F = t e¯’ is applied to the
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mass. As ts non linear differential equation can’t be solved exactly with the tools demonstrated in
Chapter 2, you must instead convert the second order differential equation into two first order
differential equations and apply the RK4 numerical recursion formula with h = 0.5. Do only one
recursion where you generate the individual values of the k’s and l’s wch you will use to
approximate the displacement at t = 0. 5.Use four decimal point accuracy in all calculations.