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Q.

Two blocks A and B of masses 2m and m, respectively are connected by a mass less and inextensible string. The whole system is suspended by a mass less spring as shown in the figure. The magnitudes of acceleration of A and B, immediately after the string is cut, are respectively

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a

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

b

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

c

$g, g$

d

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

answer is B.

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Detailed Solution

Before the cutting of string

$T_{s t r i n g} = m g$ ; $T_{s p r i n g} = 3 m g$

After cut, block ‘B’ falls freely.

For block A,

$a_{A} = \frac{T_{s p r i n g} - 2 m g}{2 m} = \frac{3 m g - 2 m g}{2 m} = \frac{g}{2} (u p)$

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Two blocks A and B of masses 2m and m, respectively are connected by a mass less and inextensible string. The whole system is suspended by a mass less spring as shown in the figure. The magnitudes of acceleration of A and B, immediately after the string is cut, are respectively