This question involves the concepts of equilibrium and Newton's third law of motion.
The support force will be "1 pound" for the empty bucket and the support force will be "6 pounds" after pouring water into it.
Therefore, the support force in each case will be equal to the total mass of the bucket:
Case 1 (empty bucket):
support force = 1 pound
Case 1 (water poured):
support force = 1 pound + 5 pound
support force = 6 pound
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