Consider a simple Atwood machine with masses \({ m }_{ 1 }=0.3 \text{kg} \) and \({ m }_{ 2 }=0.6 \text{kg}\).The larger mass is stopped for a moment \(2\) \(\text{s}\) after the system is set into motion. Find the time elapsed before the string is tight again.

Give your answer to 3 decimal places.

**Details and Assumptions**:

Both string and the pulley are light and smooth.

Assume \(g=9.8 \text{ m/s}^{2}\).

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