What would happen to a board that has forces acting in opposite directions but on opposite ends with a pivot point in the center

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12-02-2021
Physics

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What would happen to a board that has forces acting in opposite directions but on opposite ends with a pivot point in the center

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moya1316 moya1316 · Answer 1 · 2021-02-14T11:18:32+01:00

Answer:

* if the two forces are equal the table is in equilibrium

* if the two forces are different, the table rotates in the direction of the difference of the forces

Explanation:

Let's propose the solution of this problem, let's use the rotational equilibrium condition.

Counterclockwise rotations are positive

F₁ x₁ - F₂ x₂ = I α

Where F₁ and F₂ are the forces applied in an upward direction on both sides of the table, x₁ and x₂ are the distance from the point of application of the force to the pivot.

Suppose that the two forces a apply at the ends of the table,

x₁ = x₂ = x

we substitute

(F₁-F₂) x = I α

We have several possibilities:

* if the two forces are equal the table is in equilibrium

* if the two forces are different, the table rotates in the direction of the difference of the forces