
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 pendulum is suspended near a vertical wall and oscillates in a plane parallel to the wall. A thin nail is driven into the wall such that the middle of the pendulum's string hits it every time the pendulum passes through its equilibrium position from right to left. Find the length of the string if the period of oscillation of such a pendulum (with the nail disturbance) is \( T = 2.41 \) seconds. The acceleration due to gravity is \( g = 10 \, \text{m/s}^2 \).

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