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

In the adjoining figure,the tension in the string connecting blocks $A$ and $B$ is:

In the system shown in the figure,the pulleys and strings are ideal. Find the acceleration of $m_1$ with respect to $m_2$ $(m_1 = 2\ kg, m_2 = 2\ kg)$.

If the tension in the cable of a $1000 \,kg$ elevator is $1000 \,kg$ weight,the elevator

Two masses of $5\, kg$ and $10\, kg$ are connected to a pulley as shown. What will be the acceleration of the system if the pulley is set free? ($g =$ acceleration due to gravity)

$A$ light string passing over a smooth light pulley connects two blocks of masses $m_1$ and $m_2$ (where $m_2 > m_1$). If the acceleration of the system is $\frac{g}{\sqrt{2}}$,then the ratio of the masses $\frac{m_1}{m_2}$ is: