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Q.

The string between blocks of masses ‘m’ and ‘2m’ is massless and inextensible. The system is suspended by a massless spring as shown. If the string is cut, the magnitudes of accelerations of masses 2m and m (immediately after cutting)

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a

$g, \frac{g}{2}$

b

$\frac{g}{2}, \frac{g}{2}$

c

$\frac{g}{2}, g$

d

g, g

answer is C.

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Detailed Solution

For m₁, F = ma = m₁g ;For m₂ , T - $m_{2}$ g = $m_{2}$ a

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The string between blocks of masses ‘m’ and ‘2m’ is massless and inextensible. The system is suspended by a massless spring as shown. If the string is cut, the magnitudes of accelerations of masses 2m and m (immediately after cutting)