Three masses $700g,\ 500g,$ and $400g$ are suspended at the end of a spring a shown and are in equilibrium. When the $700g$ mass is removed, the system oscillates with a period of 3 seconds, when the $500g$ mass is also removed, it will oscillate with a period of

Question

Dr. Abubacker · Accepted Answer

(b) When mass $700\ g$ is removed, the left out mass $(500 + 400)g$ oscillates with a period of $3\ s$
$	herefore 3 = t = 2\pi\sqrt{\frac{(500 + 400)}{k}}\ $ …(i)
When $500\ g$ mass is also removed, the left out mass is $400\ g$
$	herefore t^{'} = 2\pi\sqrt{\frac{400}{k}}\ \ \ \ \ \ $…(ii)
$\Rightarrow \frac{3}{t^{'}} = \sqrt{\frac{900}{400}} \Rightarrow t^{'} = 2s$

Q. Three masses $700g,\ 500g,$ and $400g$ are suspended at the end of a spring a shown and are in equilibrium. When the $700g$ mass is removed, the system oscillates with a period of 3 seconds, when the $500g$ mass is also removed, it will oscillate with a period of

Explanation

Reviewed by Dr. Abubacker

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