
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

A block with mass $m=1$ kg is applied to a vertical wall. The coefficient of friction between the block and the wall is $\mu=0.1$. Determine the force that needs to be applied to the block at an angle of $\alpha=60^{\circ}$ to the wall to keep the block in equilibrium.

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