A balloon of mass $m$ is descending down with an acceleration $\frac{g}{2}$. How much mass should be removed from it so that it starts moving up with same acceleration?
$\frac{{2\,m}}{3}$
$\frac{{m}}{3}$
$3\,m$
$\frac{4}{3}\,m$
If all the pulleys are massless and string is ideal, find the reading of spring balance
Two masses $M _{1}$ and $M _{2}$ are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass $M _{2}$ is twice that of $M_{1}$. the acceleration of the system is $a_{1}$. When the mass $M_{2}$ is thrice that of $M_{1}$. The acceleration of The system is $a_{2}$. The ratio $\frac{a_{1}}{a_{2}}$ will be.
The velocity of end ' $A$ ' of rigid rod placed between two smooth vertical walls moves with velocity ' $u$ ' along vertical direction. Find out the velocity of end ' $B$ ' of that rod, rod always remains in constant with the vertical walls.
In the arrangement shown in fig. the ends $P$ and $Q$ of an unstretchable string move downwards with uniform speed $U$. Pulleys $A$ and $B$ are fixed. Mass $M$ moves upwards with a speed.