A body of mass m attached to a spring which is oscillating with time period 4 s. If the mass of the body is increased by 4 kg, its time period increases by 2 s. Determine value of initial mass m.

Explanation

To solve the problem, we will use the formula for the time period of a mass-spring system in simple harmonic motion, which is given by:

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

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