
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Knowing the horizontal component of the tension force, find the minimum force acting on a buoy from the current.

Consider the forces acting on the buoy along the horizontal axis: the force from the current acts in one direction, and the horizontal component of the tension force acts in the opposite direction.

\[M_5 \cdot a_{\sigma_{-} x} = T \cdot \sin(a) - F_{\text{tey_rop}}\]

where \(M_{\text{Б}}\) is the mass of the buoy, \(a_x\) is its acceleration along the horizontal axis, and \(\mathrm{F}_{\text{теч_го}}\) is the force acting on the buoy from the current in the horizontal direction.

Therefore, at the moment the anchor is lifted, the following equality is satisfied:

\[\mathrm{F}_{\text{Tey_rop}} = T \cdot \sin(a)\]

Hence, the minimum value of the force acting on the buoy from the current is equal to its horizontal projection, which is

\[\mathrm{F}_{\text{теч}} = \mathrm{F}_{\text{теч_гор}} = 400 \text{ N}\]

Present the answer in LaTex format: \boxed{Your answer}
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