Question

In the arrangement shown in the figure given, the strings are light and inextensible. The surface over which blocks are placed is smooth. What is the acceleration of each block?

• A. $8$ $m/s^2$
• B. $12$ $m/s^2$
• C. $2$ $m/s^2$
• D. $14$ $m/s^2$

Answer 1

The correct option is B $12$ $m/s^2$

Through constraint we can conclude that acceleration of all blocks is same and is equal to $2$

take $fbd$ of $4kg,$

Let $T$ be tension in string attached to it then $T=4a

Hence, $T$ is $8$

by taking $fbd$ of $1kg$

let tension in string attached to it be $S$ then $14-S=a$

$a=2$ So $S=14-2=12$

Hence,

all option is incorrect, correct answer is $12m/s^2$