- #1
- 6
- 0
Hi,
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.
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.