Question

In the given figure, blocks $A, B$, and $C$ of mass $m$ each have acceleration $a_{1}, a_{2}$, and $a_{3}$, respectively. $F_{1}$ and $F_{2}$ are external forces of magnitude $2\, m g$ and $m g$, respectively. Then

• A. $a_{1} \neq a_{2} \neq a_{3}$
• B. $a_{1}=a_{2} \neq a_{3}$
• C. $a_{1} > a_{2} >a_{3}$
• D. $a_{1} \neq a_{2}=a_{3}$

Answer 1

Answer: (A), (C)

$a_{1}=\frac{2 m g-m g}{m}=g$
$a_{2}=\frac{m g+m g-m g}{2 m}=g / 2$
$a_{3}=\frac{2 m g-m g}{3 m}=g / 3$
Clearly $a_{1} > a_{2} > a_{3}$