There are two masses `m_(1)` and `m_(2)`, placed at a distance `l` apart, let the centre of mass of this system is at a point named `C`. If `m_(1)` is displaced by `l_(1)` towards `C` and `m_(2)` is displaced by `l_(2)` away from `C`, find the distance from (C) where the new centre of mass will be located.

Explanation

To find the new center of mass after displacing the two masses, we can follow these steps:

### Step 1: Define the Initial Setup
Let:
- Mass \( m_1 \) be at position \( 0 \).
- Mass \( m_2 \) be at position \( l \).
- The initial center of mass \( C \) can be calculated using the formula:
\[
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