We use a sample built on the SDSS DR7 catalogue and the bulge-disc
decomposition of Simard et al. (2011) to study how the bulge and disc
components contribute to the parent galaxy's star formation activity, by
determining its position in the star formation rate (SFR) - stellar mass
(M⋆) plane at 0.02<z<0.1. We use the bulge and disc colours as proxy
for their SFRs. We study the mean galaxy bulge-total mass ratio (B/T) as a
function of the residual from the MS (ΔMS) and find that the
B/T-ΔMS relation exhibits a parabola-like shape with the peak of the
MS corresponding to the lowest B/Ts at any stellar mass. The lower and upper
envelop of the MS are populated by galaxies with similar B/T, velocity
dispersion and concentration (R90/R50) values. Bulges above the MS are
characterised by blue colours or, when red, by a high level of dust
obscuration, thus indicating that in both cases they are actively star forming.
When on the MS or below it, bulges are mostly red and dead. At stellar masses
above 1010.5M⊙, bulges on the MS or in the green valley tend to
be significantly redder than their counterparts in the quiescence region,
despite similar levels of dust obscuration. The disc color anti-correlates at
any mass with the distance from the MS, getting redder when approaching the MS
lower envelope and the quiescence region. We conclude that the position of a
galaxy in the LogSFR-LogM⋆ plane depends on the star formation
activity of its components: above the MS both bulge and disk are actively star
forming. The nuclear activity is the first to be suppressed, moving the
galaxies on the MS. Once the disk stops forming stars as well, the galaxy moves
below the MS and eventually to the quiescence region. This is confirmed by a
large fraction (∼45%) of passive galaxies with a secure two component
morphology.Comment: Version modified after referee comment