Find the acceleration of centre of mass of the blocks of masses `m_1, m_2 (m_1 gt m_2)` in Atwood's machine.

Explanation

To find the acceleration of the center of mass (ACM) of the blocks of masses \( m_1 \) and \( m_2 \) in an Atwood machine, we can follow these steps:

### Step 1: Understand the system
In an Atwood machine, there are two masses, \( m_1 \) and \( m_2 \), connected by a string over a pulley. Given that \( m_1 > m_2 \), the heavier mass \( m_1 \) will accelerate downwards while \( m_2 \) will accelerate upwards.

### Step 2: Write down the forces acting on the masses
The forces acting on the masses are:
- For mass \( m_1 \): The downward force is \( m_1 g \) (weight) and the upward force is the tension \( T \).
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