The load is being applied from the rim, pivoting around the axle, with the braking force in between, making it a class 3 lever (
http://www.professorbeaker.com/lever_fact.html). The closer the you move the braking force towards the rim, the less force you need to apply to offset a given load. Thus why V-brakes don't need to apply anywhere near as much force to the rim as a disk brake caliper does to it's disk, to achieve similar stopping power.
The leverage ratio is determined by the ratio of the pivot to the caliper, and the caliper to the rim. so a 6 inch rotor has a leverage ratio of 10/3, an 8 inch rotor has a ratio of 9/4, and a rim brake has a leverage ratio of 0 ie, the braking force is acting directly on the opposing force, without any lever.
To provide a given rate of deceleration from a given speed, a force, "x" is required. a rim brake needs to apply "x" amount of force to slow the bike, an 8 inch rotor needs to apply 9/4 * "x" = 2.25 "x", and a 6 inch rotor needs to apply 10/3 "x" = 3.33 "x".
So the reason that DH bikes use an 8 inch rotor is that, assuming the caliper is the same as the 6in version (which it normally is), you can effectivly apply 48.1% more stopping power to the tyre.
As for the brake tabs, because the caliper is mounted 1in further out, there's another lever effect happening, and by my quick mental calculations, you can put about 33% more force through the mounting tabs, although as chester pointed out, as long as the bike is going forward the tabs should only really be in compression anyway.
So thats what i think anyway...