A mass of $$2$$ kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in Fig. 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)

Question

Infinity Learn · Accepted Answer

For given conditions, $$Mg=M$$ω$$2a=ka$$ $$a=Mgk=2$$×$$10200=0.1$$ $$m=10$$ cm

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