Question

In the situation given, all surface are frictionless pulley is ideal and string is light $F=\frac{mg}{2}$ find the acceleration of block 2?

• A. g
• B. $\frac{g}{2}$
• C. $\frac{g}{3}$
• D. $\frac{g}{4}$

Answer 1

The correct option is D $\frac{g}{4}$

$\begin{array}{c}\text{let, normal forle}\\ \text{at their contact}N\\ \text{let acceleration}=a\text{.}\end{array}$

$\begin{array}{c}\text{from diagram, for mass}2\\ ma=F-N-\left(1\right)\\ \text{for mas}1\\ ma=N-\left(2\right)\end{array}$

$\therefore$ from (1 & 2)

$f=2ma$

on $\frac{mg}{2}=2ma$ on $a=9/4$ as they are in contact, hence both will accelerate with $9/4m/s^2$ Option D is correct