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While writing the Fourier representation for the spring-mass system, we have the equation:

(-jωm+B-S/jω).U(jω)=F(jω) with F,U,m,B and S being the force, velocity,mass, damping coefficient and spring constant respectively.

From this equation, is it right to infer that :

1) Force lags the velocity as F'(jω)= (-jωm) . U(jω)

2)Force leads velocity as F'(jω)= (jS/ω). U(jω)

However, physically the above argument doesn't seem to be correct. As force leads the velocity for a mass system and force lags velocity for a spring system.

So could someone please correct me the mistake in my understanding.