In the case of a wire having negligible mass,suspended from a ceiling and stretched under the action of a weight $F$ suspended from its other end,the tension at any cross-section of the wire is

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

Two identical masses $m$ are connected to a massless string which is hung over two frictionless pulleys as shown in the figure. If everything is at rest,what is the tension in the cord?

Find the acceleration of block $B$.

$A$ frictionless pulley is attached to one arm of a balance and a string passed around it carries two masses $m_1$ and $m_2$. The pulley is provided with a clamp due to which $m_1$ and $m_2$ do not move with respect to each other. On removing the clamp,$m_1$ and $m_2$ start moving. How much change in counter mass has to be made to restore balance?

Two masses $M$ and $M/2$ are joined together by means of a light inextensible string passing over a frictionless pulley as shown in the figure. When the bigger mass is released,the smaller one will ascend with an acceleration of