NSEP Mechanics - I

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 $g=9.8 \text{ m/s}^{2}$ .