A horizontal spring block system of mass M executes simple harmonic motion. When the block is passing through its equilibrium position, an object of mass m is put on it and the two move together. Find the new amplitude and frequency of vibration. Given, k is the spring constant of the system.

Explanation

To solve the problem of a horizontal spring block system where an additional mass is placed on the block when it is at its equilibrium position, we will follow these steps:

### Step-by-Step Solution:

1. **Identify Initial Parameters**:
- Let the initial mass of the block be \( M \).
- Let the initial amplitude of the system be \( A \).
- The spring constant is denoted as \( k \).
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