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To set up a balance as shown below, another 16 N weight is needed to balance the beam. How far must it be placed from the pivot?

Answer :

Final answer:

To balance the beam with an additional weight of 16 N, it needs to be placed closer to the pivot.

Explanation:

In order to balance the beam, an additional 16 N weight needs to be placed. The distance from the pivot where the weight should be placed can be determined using the equation m1 r₂ = r1m₂.

Given the known quantities, the heavier weight needs to be placed closer to the pivot in order to balance the beam.

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Final answer:

To balance the beam, an additional 16 N weight is required to be placed at a certain distance from the pivot.

Explanation:

To balance the beam, an additional 16 N weight must be placed at a specific distance from the pivot. In order to determine this distance, we can use the principle of equilibrium. The condition for equilibrium states that the sum of all forces acting on the beam must be zero. Since the weight of the beam is known, we can find the required distance by using the formula:

(Distance from pivot) x (16 N) = (Distance from pivot) x (weight of beam)

By rearranging the equation and solving for the distance from the pivot, we can find the answer.