In the arrangement shown in figure $a _{1}, a _{2}, a _{3}$ and $a _{4}$ are the accelerations of masses $m _{1}, m _{2}, m _{3}$ and $m _{4}$ respectively. Which of the following relation is true for this arrangement?
$4 a_{1}+2 a_{2}+a_{3}+a_{4}=0$
$a_{1}+4 a_{2}+3 a_{3}+a_{4}=0$
$a_{1}+4 a_{2}+3 a_{3}+2 a_{4}=0$
$2 a_{1}+2 a_{2}+3 a_{3}+a_{4}=0$
If pulleys shown in the diagram are smooth and massless and $a_1$ and $a_2$ are acceleration of blocks of mass $4 \,kg$ and $8 \,kg$ respectively, then
Figure shows a boy on a horizontal platform $A$ on a smooth horizontal surface, holding a rope attached to a box $B$ . Boy pulls the rope with a constant force of $50\ N$ . (boy does not slip over the platform). The combined mass of platform $A$ and boy is $250\ kg$ and that of box $B$ is $500\ kg$ . The velocity of $A$ relative to the box $B$ , $5\ s$ after the boy on $A$ begins to pull the rope, will be ............ $m/s$
In the system shown in figure pulleys and strings are ideal. Acceleration of $m_1\ w.r.t.\ m_2$ is $(m_1 = 2\ kg\ ; m_2 = 2\ kg)$
At a given instant, $A$ is moving with velocity of $5\,m / s$ upwards. What is velocity of $B$ at the time
If block $A$ is moving with an acceleration of $5\,m/s^2$, the acceleration of $B$ w.r.t. ground is