An elevator accelerates upwards at a constant rate. A uniform string of length $L$ and mass $m$ supports a small block of mass $M$ that hangs from the ceiling of the elevator. The tension at distance $l$ from the ceiling is $T$ . The acceleration of the elevator is
$\frac{T}{{M\ +\ m\ - \frac{{ml}}{L}}} - g$
$\frac{T}{{2M\ +\ m\ - \frac{{ml}}{L}}} - g$
$\frac{T}{{M\ +\ \frac{{ml}}{L}}} - g$
$\frac{T}{{2M\ -\ m\ + \frac{{ml}}{L}}} - g$
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?
In the figure shown the velocity of different blocks is shown. The velocity of $C$ is $.........\,m/s$
If the block $A$ & $B$ are moving towards each other with acceleration $a$ and $b$. Find the net acceleration of $C$.
At a given instant, $A$ is moving with velocity of $5\,\,m/s$ upwards.What is velocity of $B$ at that time
A man of mass $60\ kg$ is standing on a platform of mass $40\ kg$ as shown in figure then what force man should apply on rope so that he accelerate up with the platform with acceleration of $2\ m/s^2$ ............ $N$