> Q. 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/{{s}^{2}} )$ – LIVE ANSWER TODAY

Q. 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/{{s}^{2}} )$

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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/{{s}^{2}} )$

Solution:

Since $F = k cdot a$

A.T. Q :- $F = ma$

$therefore ka=mg$

$Rightarrow a=frac{mg}{k}=frac{2 times 10}{200}$

$=10, cm$

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