While on a camping trip, you would like to carry water from the lake to your cam

Question

While on a camping trip, you would like to carry water from the lake to your campsite. You have two non-identical buckets which you attach to a 1.27 m long rod. Since the buckets are not identical, you find that the rod balances about a point 0.0271 m from its midpoint, as shown below. The weight of the rod and empty buckets are negligible compared to the weight of the water. Which bucket holds more water?

And Fill in the blank: The heavier bucket contains ___% more water than the lighter bucket does.

Explanation / Answer

Apply torque equatiojn about balancing point

w1 ( L/2 + 0.0271 m) = w2 ( L/2 - 0.027 m)

w2/ w1 = ( 1.27/2 + 0.0271 m)/( 1.27/2 - 0.027 m)

= 1.088

w2 = w1 +(8.8 %)w1

heavier bucket 8.8 % more water than lighter bucket

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