Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

Two particles of masses \( 3\text{ kg} \) and \( 5\text{ kg} \) are separated by a distance of \( 16\text{ m} \). If the \( 3\text{ kg} \) mass is moved towards the centre of mass by \( 4\text{ m} \), what distance must the \( 5\text{ kg} \) mass be moved so that the position of the centre of mass remains unchanged?

1. A
   \( 2.4\text{ m} \text{ towards CM} \)
2. B
   \( 3.2\text{ m} \text{ towards CM} \)
3. C
   \( 2.4\text{ m} \text{ away from CM} \)
4. D
   \( 1.6\text{ m} \text{ towards CM} \)