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.
$\frac{1}{3}$
$\frac{2}{3}$
$\frac{3}{2}$
$\frac{1}{2}$
Find the acceleration of $B$.
A man is slipping on a frictionless inclined plane and a bag falls down from the same height. Then the velocity of both is related as
If block $A$ is moving with an acceleration of $5\,m/s^2$, the acceleration of $B$ w.r.t. ground is
All surfaces shown in figure are assumed to be frictionless and the pulleys and the string are light. The acceleration of the block of mass $2 \mathrm{~kg}$ is :