The pulleys in the diagram are all smooth and light. The acceleration of $A$ is $a$ upwards and the acceleration of $C$ is $f$ downwards. The acceleration of $B$ is
$\frac{1}{2}(f-a)$ up
$\frac{1}{2}(a+f)$ down
$\frac{1}{2}(a+f)$ up
$\frac{1}{2}(a-f)$ up
A rocket with a lift-off mass $2\times10^4\, kg$ is blasted upwards with an intial acceleration of $5\, m\, s^{-2}$. The initial thrust of the blast is (Take $g = 10\, m\, s^{-2}$)
Two masses of $5\, kg$ and $10\, kg$ are connected to a pulley as shown. What will be the acceleration if the pulley is set free ($g =$ acceleration due to gravity)
Select correct statement regarding pseudo force
A light string passing over a smooth light pulley connects two block of masses $m_1$ and $m_2$ (vertically). If the acceleration of the system is $(\frac {g}{8})$, then the ratio of masses is
A block of mass $m$ is released on a smooth inclined plarie of inclination $\theta$ with the horizontal. The force exerted by the plane on the block has a magnitude