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

Question

Two blocks A and B of masses 2m and m, respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in the figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/77856f33201d18c306d4b452197ecc8a-.png" /> (A) g, (g/2) (B) (g/2), g (C) g, g (D) (g/2), (g/2)

Tardigrade Admin · Accepted Answer

After string is cut, free body diagram of block A gives <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/182ef8ca23b1a18e2eef76c2a1ed4792-.png" /> 2maA=3mg-2mg or aA=(mg/2m)=(g/2) Free body diagram of block B gives maB=mg or aB=g

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

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

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

$g, g$

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

After string is cut, free body diagram of block A gives

$2 m a_{A} = 3 m g - 2 m g$

or $a_{A} = \frac{m g}{2 m} = \frac{g}{2}$

Free body diagram of block B gives

$m a_{B} = m g$

or $a_{B} = g$

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

g,2g​

2g​,g

g,g

2g​,2g​