Cunsider the massspringdamper system in FngE. A block ufmass m is moving smnuthlynnthehuiizontalplane. Both ufthespiingsareinfreestate when y(t]=_...

Please help with the following control system problem.

Cunsider the mass—spring—damper system in FngE. A block ufmass m is movingsmnuthlynnthehuiizontalplane. Both ufthespiingsareinfreestate wheny(t]=fl_ The damper fume is pmpurlinnal to velocity of mass block with coefficient ill. The dwamie equation of the system is Mll+bi+fi +sz1%“ a). Write the state space equatinn of the system and determine the equilibn'um pumt11). Use Lysptmmr directmethudtn determinetllestallruili’rjlr of the equilibrium point.c). Ifthe mass blue]: is applied with a fume input ufr)=k.y+ejr, undfi what condition of real constant C can the system he asymptotically stable?