
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 boy uses his thumb to press along a vertical rod supported on a rough horizontal surface. Then, he starts to gradually tilt the rod while keeping the component of the force applied to its end along the rod unchanged. When the tilt angle of the rod to the horizontal is $\alpha=85^{\circ}$, the rod begins to slide on the surface. Determine the coefficient of friction between the surface and the rod, given that in the vertical position, the normal force exceeds the weight of the rod by a factor of 6. Round your answer to the nearest hundredth.

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