Two weights $2 \,N$ and $3 \,N$ are suspended from the ends of an inextensible string passing over a fixed frictionless pulley. If the pulley is pulled up with an acceleration equal to the acceleration due to gravity $(g)$, then the tension in the string is: (in $\,N$)

In the figure,the tension in the diagonal string is $60\,N$. Find the magnitude of the horizontal forces $F_1$ and $F_3$ that must be applied to hold the system in the position shown.

Three blocks $M_1, M_2, M_3$ having masses $4 \ kg, 6 \ kg$ and $10 \ kg$ respectively are hanging from a smooth pulley using ropes $1, 2$ and $3$ as shown in the figure. The tension in the rope $1, T_1$,when they are moving upward with an acceleration of $2 \ m/s^2$ is ............... $N$ (if $g = 10 \ m/s^2$).

Objects $A$ and $B$,each of mass $m$,are connected by a light inextensible cord. They are constrained to move on a frictionless ring in a vertical plane as shown in the figure. The objects are released from rest at the positions shown. The tension in the cord just after release will be

Two bodies of mass $3\, kg$ and $4\, kg$ are suspended at the ends of a massless string passing over a frictionless pulley. The acceleration of the system is ........ $m/s^2$ $(g = 9.8\, m/s^2)$.

$A$ block of mass $10 \ kg$ is placed on a horizontal frictionless surface and is attached to a cord which passes over two light frictionless pulleys as shown in the figure. The hanging block tied to the other end of the cord is initially at rest $2 \ m$ above the horizontal floor. If the hanging block strikes the floor $2 \ s$ after the system is released,then the weight of the hanging block is ....... $(g=10 \ ms^{-2})$ (in $N$)