A mass $M$ is placed on a very smooth wedge resting on a surface without friction. Once the mass is released, the acceleration to be given to the wedge so that $M$ remains at rest is $a$ where
$a$ is applied to the right and $a=g \tan \theta$
$a$ is applied to the left and $a=g \sin \theta$
$a$ is applied to the left and $a=g \cos \theta$
$a$ is applied to the left and $a=g \tan \theta$
Two blocks of $7\,\,kg$ and $5\,\,kg$ are connected by a heavy rope of mass $4\,\,kg.$ An upward force of $200\,N$ is applied as shown in the diagram. The tension at the top of heavy rope at point $P$ is ....... $N$ $(g = 10\,\,m/s^2)$
Three blocks with masses $m, 2m $ and $3 m$ are connected by strings, as shown in the figure. After an upward force $F$ is applied on block $m,$ the masses move upward at constant speed $v.$ What is the net force on the block of mass $2\ m\ ?\, (g$ is the acceleration due to gravity$)$
For frictionless surfaces in given arrangement tension $T_2$ is :-
Three masses of $16, 8$ and $4\,kg$ are placed in contact as shown in figure. If a force of $140\,N$ is applied on $4\,kg$ mass, then the force on $16\,kg$ will be ............ $ N$
Two wooden blocks are moving on a smooth horizontal surface such that the block of mass $m$ remains stationary with respect to block of mass $M$ as shown in the figure. The magnitude of force $P$ is