2nd Inversion Chords

The next inversion is the 2nd inversion. This chord is built on the 5th scalar note of each root position triad. For example: a G scale (GABCDEF#G) has as its’ 5th tone the D note. Starting on this D, you build a triad above it by using the next G and then the B above that. D G B. Notice how the “color” tone ends up on top.
Other 2nd inversion chords are:
C: G C E
D: A D F#

Now try working with sounding the root position, 1st inversion and then 2nd inversion notes in succession:

G: G B D B D G D G B
C: C E G E G C G C E
D: D F# A F# A D A D F#

Practice with all the bluegrass chords.

A 5-string banjo is a great example of chord inversions. When it is tuned in normal G tuning, the open 4th, 3rd and 2nd strings sound a 2nd inversion triad; when the 3rd, 2nd and 1st strings are sounded, they make up a root position triad; when the 2nd, 1st and 5th strings are sounded, they sound a 1st inversion triad.
Interestingly, a resophonic guitar tuned in normal G position has two root position tonic triads, one above the other, used as its’ tuning. G B D G B D. Mandolins, fiddles, and basses are not tuned in chords, generally. Although there are many examples from Bill Monroe tuning his mandolin in an open chord; and history is full of interesting chordal tunings for fiddles.