Two particles of mass 2 kg and 4 kg lie on the same line. If 4 kg is displaced rightwards by 5m then by what distance 2 kg should be move for which centre of mass will remain at the same position

Explanation

To solve the problem step by step, let's follow the reasoning laid out in the video transcript.

### Step 1: Understand the Problem
We have two masses:
- Mass \( m_1 = 2 \, \text{kg} \)
- Mass \( m_2 = 4 \, \text{kg} \)

The mass \( m_2 \) is displaced rightwards by \( 5 \, \text{m} \). We need to find out how far the mass \( m_1 \) should move so that the center of mass (CM) of the system remains in the same position.
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