Two blocks A and B of masses 3 m and m respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively [NEET 2017] |
A) \[\frac{g}{3},\frac{g}{3}\]
B) \[g,\frac{g}{3}\]
C) \[\frac{g}{3},g\]
D) \[g,\,g\]
Correct Answer: C
Solution :
[c] |
Before the string is cut |
\[kx=T+3mg\] (i) |
\[T=mx\] (ii) |
\[\Rightarrow \] \[kx=4mg\] |
After the string is cut, \[T=0\] |
\[a=\frac{kx-3mg}{3m}\] |
\[a=\frac{4mg-3mg}{3m}\] |
\[a=\frac{g}{3}\uparrow \] |
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