Spring Systems question from MHT CET 2025 (19 Apr, Shift 1)

Answer: (a)

1. Spring unstretched at the top, so $A = \frac{g}{\omega^2}$ and $v_{max} = A\omega = \frac{g}{\omega}$.
2. $\omega = \frac{2\pi}{T} = \frac{2\pi}{0.1} = 20\pi$ rad/s
3. $v_{max} = \frac{10}{20\pi} = \frac{1}{2\pi}$ m/s
4. So the answer is (a).