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What are the conditions for the static equilibrium?

Question

What are the conditions for the static equilibrium?

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Solution

The conditions for static equilibrium are:

  1. The sum of all the forces acting on the object must be zero. This is also known as the condition of translational equilibrium. Mathematically, it can be represented as ∑F = 0. This means that the object is either at rest or moving at a constant velocity.

  2. The sum of all the torques (or moments) acting on the object must also be zero. This is known as the condition of rotational equilibrium. Mathematically, it can be represented as ∑τ = 0. This means that the object is not rotating.

These two conditions ensure that the object remains in a state of equilibrium, i.e., its state of motion does not change.

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