A huge piston in a machine is undergoing, vertical S.H.M approximately with a frequency of 1 `s^(-1)`. A 5 kg block is placed on the piston. iF the block and the piston move together, determine the maximum amplitude of the piston S.H.M. such that block remains in contact with piston
take, g = 9.8 `m//s^(2)`

Explanation

To solve the problem, we need to determine the maximum amplitude of the piston undergoing simple harmonic motion (SHM) such that a 5 kg block remains in contact with it.

### Step-by-Step Solution:

1. **Identify the Forces Acting on the Block**:
- The block experiences a downward gravitational force, \( F_g = mg \), where \( m = 5 \, \text{kg} \) and \( g = 9.8 \, \text{m/s}^2 \).
- The maximum force due to SHM acting on the block is the upward force due to the acceleration of the piston.

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