While on a camping trip, a man would like to carry water from the lake to his campsite. He fills two, non‑identical buckets with water and attaches them to a 1.43 m long rod. Since the buckets are not identical, he finds that the rod balances about a point located at a 5.59 cm from its midpoint. Which bucket holds more water?

Moment of a force is directly proportional to it's distance from the point about which rotation takes place. In the given case the man increases the lever arm(distance from point of rotation of the force) to balance the moment of the lighter bucket. Thus in the direction of the increase the lighter bucket will be placed.

onyebuchinnaji onyebuchinnaji · Answer 2 · 2022-04-12T13:16:25+02:00

The bucket that holds more water is the bucket that is 65.9 cm from the balance point.

Principle of moment

The bucket that exerts the greatest force will be determined by applying the pinciple of moment as shown below;

Let the weight of the first bucket = W1
Let the weight of the second bucket = W2
Let the weight of the rod = W
Mid point of the rod = 0.715 m

|___________1.43 m_________________|

---------------------------------------------------------------

↓ Δ 5.59 cm | ↓

W1 W W2

Take moment about the pivot;

W1(0.715 - 0.0559) = W(0.0559) + W2(0.715 + 0.0559)

W1(0.659) = W(0.0559) + W2(0.771)

Since the weight of the first bucket balances the weight of the rod and theb second bucket, the weight of the first bucket is the greatest.

Thus, the bucket that holds more water is the bucket that is 65.9 cm from the balance point.

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