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  4. Two block of mass 3 kg and m kg connected to each other with the help of string which passes over a frictionless pulley. If the acceleration of system is (g/4)

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Q. Two block of mass $3 kg$ and $m kg$ connected to each other with the help of string which passes over a frictionless pulley. If the acceleration of system is $\frac{g}{4}$Physics Question Image

Laws of Motion

Solution:

$a=\frac{\left(m_{2}-m_{1}\right)}{\left(m_{1}+m_{2}\right)} g$
$\frac{g}{4}=\left(\frac{3-m}{3+m}\right) g$
$\frac{1}{4}=\frac{3-m}{3+m} $
$\Rightarrow 3+m=12-4 m$
$5 m=9$
$ \Rightarrow m=9 / 5=1.8 kg$