Tension (11) Xo- X| The mass-spring system can be modelled by the following IVP: Weight mx' (t) = mg - kx (t) x (0) =0,
Posted: Mon May 23, 2022 12:12 pm
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. =