Q.
In the arrangement shown in figure, the strings are light and inextensible. The surface over which blocks are placed is smooth. What is the acceleration of each block?
A) $8\ {ms}^{- 2}$
B) $4\ {ms}^{- 2}$
C) $2\ {ms}^{- 2}$
D) $14\ {ms}^{- 2}$
Explanation
(b) Let $a$ be the acceleration of each block and $T_{1}$ and $T_{2}$ be the tensions, in the two strings as shown in figure.
[image:5_image179.jpeg]
Using , $\sum_{}^{}{F_{x} = {ma}_{x}}$
$or\ \ 28 = (4 + 2 + 1)a$
$or\ \ a = \frac{28}{7} = 4\ {ms}^{- 2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.