For the given system,the acceleration of the system is ........... $m/s^2$.

Two masses $m_1 = 3\,kg$ and $m_2 = 7\,kg$ are tied to a string and are hanging over a light frictionless pulley. What is the acceleration of the masses when the system is free to move (in $,m/s^2$)? $[g = 10\,m/s^2]$

Find the mechanical advantage for pulling mass $M$ by the person as shown in the figure.

$A$ uniform chain of length $2L$ is hanging in equilibrium over a small,smooth pulley. If end $B$ is given a slightly downward displacement $x$,the imbalance causes an acceleration. The acceleration of the chain when it has been displaced by distance $x$ is:

Two masses of $5\, kg$ and $3\, kg$ are suspended with the help of massless inextensible strings as shown in the figure. The whole system is moving upwards with an acceleration of $2\, ms^{-2}$. The tensions $T_1$ and $T_2$ are respectively (Take $g = 10\, ms^{-2}$)

$A$ monkey of mass $50\,kg$ climbs on a rope which can withstand the tension $(T)$ of $350\,N$. If the monkey initially climbs down with an acceleration of $4\,m/s^2$ and then climbs up with an acceleration of $5\,m/s^2$,choose the correct option $(g = 10\,m/s^2)$.