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

$A$ block of mass $M$ is pulled along a horizontal frictionless surface by a rope of mass $M/2$. If a force $2Mg$ is applied at one end of the rope,the force which the rope exerts on the block is -

The ends of a rope are held by two men who pull on it with equal and opposite forces of magnitude $F$ each. Then the tension in the rope is

An arrangement of a spring,strings,a pulley,and masses is shown in the figure below. The pulley and the strings are massless and $M > m$. The spring is light with spring constant $k$. If the string connecting $m$ to the ground is detached,then immediately after detachment,

$A$ uniform rope of mass $M$ and length $L$ is fixed at its upper end vertically from a rigid support. The tension in the rope at a distance $l$ from the rigid support is:

$A$ light unstretchable string passing over a smooth light pulley connects two blocks of masses $m_1$ and $m_2$. If the acceleration of the system is $\frac{g}{8}$,then the ratio of the masses $\frac{m_2}{m_1}$ is: