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My friends and I have be struggling with this question for a substantial amount of time. Any help would be greatly appreciated.
%Consider the mass-damper system with dead zone as depicted in Figure E.1.
%The motion of the system is described by the following combination of
%my" + 2cy' + k(y + b) = F(t), y<-b
%my" + 2cy' = F(t), -b<=y<=b
%my" + 2cy' + k(y - b) = F(t), y>b
%(a) Rewrite the above as a single equation using the heaviside function.