Please help with the following control system problem.Cunsider the massspringdamper system in FngE. A block ufmass m is movingsmnuthlynnthehuiizontalplane. Both ufthespiingsareinfreestate wheny(t]=?_ The damper fume is pmpurlinnal to velocity of mass block with coef?cient ill. The dwamie equation of the system is Mll+bi+? +sz1% a). Write the state space equatinn of the system and determine the equilibn’um pumt11). Use Lysptmmr directmethudtn determinetllestallruilirjlr of the equilibrium point.c). Ifthe mass blue]: is applied with a fume input ufr)=k.y+ejr, und? what condition of real constant C can the system he asymptotically stable?
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