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A mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a simple harmonic motion. The spring constant is 200 N/m. What should be the minimum amplitude of the motion so that the mass gets detached from the pan (take g = 10 m/s2)?
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- 10.0 cm
- any value less than 12.0 cm
- 4.0 cm
- 8.0 cm
Correct Option: A
Mass gets detached at the upper extreme position when pan returns to its mean position.
At that point, R = mg – mω2a = 0
i.e. g = ω2a
⇒ a = g / ω2 = mg / k
| ⇒ a = |  | As ω2 = |  | ||||
| 200 | m |
⇒ a = (1 / 10) m = 10 cm
