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Nearly two-thirds of the disk galaxies in the local Universe are barred spiral galaxies; including our home galaxy Milky Way (MW) & neighbouring sister galaxy Andromeda (M31). Barred spiral galaxies are also common at high redshift, and even at very high redshift, given the recent data (z>2) from ALMA and JWST. Despite their widespread presence, the physical processes that govern the role of bars in driving galaxy dynamics are not understood well. In the first part of this talk, we will discuss how successive vertical buckling events affect the galactic bar and disks. Since the last few decades, the results from N-body simulations show that almost every bar undergoes a vertical buckling during its temporal evolution which can last for 200 Myr to 1 Gyr and leads to the formation of the box/peanut/x-shaped (BPX) bulges. However, the photometric and kinematic observations have caught only a handful of ongoing buckling events in barred galaxies. Using N-body simulations of Milky Way-like galaxies, we deduce the potential observables in kinematic and photometric density maps which can guide observations to detect and distinguish ongoing successive buckling events. In the second part of the talk, we discuss the potential role of bars in fueling the central black holes using the data products of IllustrisTNG-100 magneto-hydrodynamical cosmological simulations. We conduct the statistical study of the blackhole masses in 1191 barred and 2738 unbarred galaxies. To have an equal number of barred and unbarred galaxies, we control the sample using several controlling parameters. Except for the stellar mass as a controlling parameter, we find that the median mass of black holes in barred galaxies is almost twice of that in unbarred galaxies at present epoch, indicating the superior role of stellar mass. Although the relationship between stellar mass, bar formation and black hole growth is complex, with several complex physical processes at work, our analysis suggests that bars can play a crucial role in feeding black holes, particularly galaxies with massive stellar disks.