I'll quote Bob Parks since we were just having this discussion in emails recently
"There is no such thing as pendulum effect on a flying airplane. If you
think about the forces on a real pendulum, the pivot is fixed, and the
pendulum is hanging from it. The force applied by the pivot to the
pendulum is ALWAYS purely vertical. When the pendulum is off to the
side, the gravity force vector applied to the weight has a vector
component that is along the strut of the pendulum, but also a component
that is a rotational moment about the pivot... thus it swings back to
vertical (and oscillates).
In an airplane as it rotates in pitch or roll, the lift force vector
does not change its angle relative to the airplane, so there is no
"gravity" component to give a rotational moment. In an airplane it is
VERY difficult to know where the gravity vector even points to. I have
done a bit of aerobatics in full size planes. If you do a pretty tight
loop, you go over the top still pressed into your seat and you are
looking "up" at the ground. Same thing in a tight, coordinated turn.
you feel like you are upright when you are in a 45 deg bank. That is
why flying IFR is so hard to learn.
There are some dynamics effects of having the CG well below the wing,
but the low wing vs high wing difference in dihedral effect is mostly
the difference in wing to body aero interference.
What you care about is often called "dihedral effect", or in engineering terms, "rolling moment vs sideslip angle". Basically, if the left wing drops, the tilted lift pulls the plane to the left, which results in a sideslip. Dihedral effect causes a rolling moment to roll the plane back to level. Similarly, if you gave right rudder, that gives the same kind of sideslip (relative wind hitting the left side of the nose), and would roll the plane to the right, into the turn. All the examples below assume the same relative wind hitting more on the left side of the nose.
There are 4 big things that contribute to it:
1) actual geometric dihedral. The dihedral angle means that with the side slip, the left wing is at a slightly higher angle of attack than the right, and makes more lift causing the roll.
2) wing location on the body. This is really an interference effect. With a low wing, and the body at an angle to the flow, the leeward wing is somewhat masked by the body, cutting its lift. This one depends a LOT on configuration. A long chord delta wing is a lot different from a sailplane.
3) sweep. With the sideslip angle, the left wing gets less sweep relative to the flow, has more exposed span than the right wing, so left wing makes more lift. This effect tends to vary with angle of attack. Higher angle of attack, more dihedral effect due to sweep. Very rough rule of thumb.. 10 degrees of sweep is about the same as 1 degree of dihedral
4) a really tall vertical tail, particularly if it is a T tail. With the sideslip, the tail makes a side force trying to yaw the plane to the left, and with a tall tail, that side force also makes a right roll moment.
These things all add up. What matters is the total dihedral effect.
You want to get the right balance of dihedral effect and yaw "weathervane" stability. Too much dihedral and not enough yaw stability, results in a combined yaw and roll oscillation called a "Dutch roll". It can be unpleasant if you are in the plane.. or even flying FPV. I have a Twisted hobbies ProXy FPV airplane and it has a V tail and high wing so is prone to Dutch roll. It can be a bit nausea inducing.
Similarly, airliners with sweep and dihedral and the desire to not have a lot of weight and drag in a big vertical tail makes them prone to Dutch Roll. They use active gyro dampers to handle it. I was once on an airliner, sitting up near the front, where the yaw damper failed.. not pleasant.
In the other direction, low dihedral effect, plus being yaw stable gives spiral divergence. If you leave the plane on its own, it will eventually end up in an ever worsening spiral dive. But this can take many minutes to happen. A human pilot, either onboard or RC takes care of it without even realizing what is going on. Most manned airplanes accept spiral divergence to avoid Dutch Roll. "
Bottom line, high delta wing, no wing to body interference, dihedral not needed as effective dihedral due to the delta wing is sufficient. Low delta wing, dihedral is beneficial due to body/wing interference reducing effective dihedral.
Frank