Q. System shown in figure is in equilibrium and at rest. The spring and string are massless, now the string is cut. The acceleration of mass $2\ m$ and $m$ just after the string is cut will be

A) $g/2$ upward, $g$ downward
B) $g$ upward, $g/2$ downward
C) $g$ upward, $2g$ downward
D) $2g$ upward, $g$ downward
Explanation

(a) Initially under equilibrium of mass $m$
$T = mg$
Now, the string is cut. Therefore, $T = mg\ $force is decreased on mass $m$ upward and downwards on mass 2$m.$
$\therefore\ a_{m} = \frac{mg}{m} = g\ \ \ \ (downwards)$
$and\ a_{2m} = \frac{mg}{2m} = \frac{g}{2}\ (upwards)$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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