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NEET 2017 · Connected Bodies & Pulleys

Connected Bodies & Pulleys question from NEET 2017

Q35NEET 2017Medium

Connected Bodies & Pulleys

Two blocks A and B of masses 3m 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

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Answer: (a)

Before cutting, spring force $= (3m + m)g = 4mg$ .
Just after cutting, the spring force is still $4mg$ : for A, $a_A = \dfrac{4mg - 3mg}{3m} = \dfrac{g}{3}$ .
B is free, so $a_B = g$ .
So the answer is (a) $\frac{g}{3}, g$ .

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