Question

Two forces act on a crate and the crate is in equilibrium. These two forces are

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Problem:

In an equilibrium scenario, the sum of all forces acting on the crate must be zero. Thus,\vec{F_1} + \vec{F_2} = \vec{0} .

Solution:

1. Let\vec{F_1} and \vec{F_2} be the two forces acting on the crate such that their sum is zero.

2. Using vector addition rule, we write:

\vec{F_1} + \vec{F_2} = \vec{0}

3. This implies:

\vec{F_2} = -\vec{F_1}

4. Hence, the magnitudes of the forces must be equal and their directions must be opposite.

Answer:

From the above solution, the magnitudes of the forces are equal, and the directions of the forces are opposite.

In an equilibrium scenario, the sum of all forces acting on the crate must be zero. Thus,

Solution:

1. Let

2. Using vector addition rule, we write:

3. This implies:

4. Hence, the magnitudes of the forces must be equal and their directions must be opposite.

Answer:

From the above solution, the magnitudes of the forces are equal, and the directions of the forces are opposite.

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