A uniform metal chain of mass $m$ and length ' $L$ ' passes over a massless and frictionless pulley. It is released from rest with a part of its length ' $l$ ' is hanging on one side and rest of its length ' $L -l$ ' is hanging on the other side of the pulley. At a certain point of time, when $l=\frac{L}{x}$, the acceleration of the chain is $\frac{g}{2}$. The value of $x$ is ........
$6$
$2$
$1.5$
$4$
If block $A$ has a velocity of $0.6\,m / s$ to the right, determine the velocity of block $B$.
In the figure shown the velocity of different blocks is shown. The velocity of $C$ is ......... $m/s$
If the block $A$ & $B$ are moving towards each other with acceleration $a$ and $b$. Find the net acceleration of $C$.
If all the pulleys are massless and string is ideal, find the reading of spring balance