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 1.51 m long rod. Since the buckets are not identical, you find that the rod balances about a point 0.0895 m from its midpoint, as shown below. The weight of the rod and empty buckets are negligible compared to the weight of the water. 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 1.51 m long rod. Since the buckets are not identical, you find that the rod balances about a point 0.0895 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?

Explanation / Answer

Bucket 1 holds more water as its lever arm is shorter

Assume the weight of the water in bucket 2 is 10 N
Let A be the additional weight of water in bucket 1

sum moments about the balance point to zero

10[(1.51 / 2) + 0.0895] - (10 + A)[(1.51 / 2) - 0.0895] = 0

10[(1.51 / 2) + 0.0895] = (10 + A)[(1.51 / 2) - 0.0895]

10[ 0.8445] = (10 + A)[0.6655]

8.445 = 6.655 + 0.6655A

1.79 = 0.6655A

A = 2.689 N

so as a percentage more

2.689 / 10 = 0.2689 = 26.89% more in bucket 1

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