First slide

Newton's laws of motion

Question

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

Moderate

A

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

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

$g, g$
D

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

Solution

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
$m a_{B} = m g or a_{B} = g$

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