Tension (11) Xo- X| The mass-spring system can be modelled by the following IVP: Weight mx' (t) = mg - kx (t) x (0) =0,

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Tension 11 Xo X The Mass Spring System Can Be Modelled By The Following Ivp Weight Mx T Mg Kx T X 0 0 1 (153.4 KiB) Viewed 16 times

Tension (11) Xo- X| The mass-spring system can be modelled by the following IVP: Weight mx' (t) = mg - kx (t) x (0) =0, x'(0) = 0, where kERm 6.0 and 8=9.8. Use the midpoint method with a step size of h=0.5 to find an approximation for x (t) at t= 1. Suppose it was found during experimentation that after one unit of time the spring had an extension of one unit of length, that is x (1) = 1. Use your estimation of x(1) obtained from the midpoint method to find an estimation of the spring constant & € R. Write your answer to three decimal places. =