1) A bottle filled with soda rests on the conveyor of a grocery check-out. The bottle weights 2 lbs, the CG is 8 inches from the base of the bottle, and the diameter of the bottle is 3 inches. Determine the largest acceleration the conveyor can have without causing the bottle to tip.
2) If the bottle on the conveyor of the above problem has a friction coefficient against the conveyor of .2, what is the greatest acceleration the conveyor can have without slipping?
Evaluate the results of Problems above to determine whether the bottle will tip over on the conveyor, or slip on the conveyor, when the acceleration gets too high.