A mass M attached to a spring oscillation with a period of `2 s`. If the mass is increased by `2 kg` , the period increases by 1s, find the initial mass m assuming that Hooke's law is obeyed.

Explanation

To solve the problem step by step, we will use the formula for the period of oscillation of a mass-spring system, which is given by:

\[ T = 2\pi \sqrt{\frac{m}{k}} \]

where \( T \) is the period, \( m \) is the mass attached to the spring, and \( k \) is the spring constant.

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