d
Mass per unit length $=\lambda$
$N = mg =\lambda( L - x ) g$
$fs _{\max }=\mu_{ s } N$
$fs _{\max }=(0.5)(\lambda)( L - x ) g$
And also $fs _{\max }= m _{ x } g$
$0.5 \lambda( L - x ) g =\lambda xg$
$\frac{ L - x }{2}= x$
$\frac{ L }{2}=\frac{3 x }{2} \Rightarrow x =\frac{ L }{3}=\frac{6}{3}=2 \,m$
