If the tension in the horizontal wire shown in the figure is $30 \text{ N}$,then the weight $W$ and tension in the wire $OA$ are respectively:

The adjoining figure shows a force of $40\, N$ acting at $30^o$ to the horizontal on a body of mass $5\, kg$ resting on a smooth horizontal surface. Assuming that the acceleration due to gravity is $10\, ms^{-2}$,which of the following statements is (are) correct?
$[1]$ The horizontal component of the applied force is $20\sqrt{3}\, N$.
$[2]$ The weight of the $5\, kg$ mass acts vertically downwards.
$[3]$ The net vertical force acting on the body is $30\, N$ (upwards).

$A$ body of mass $1 \ kg$ is suspended with the help of two strings making angles as shown in the figure. The magnitudes of tensions $T_1$ and $T_2$,respectively,are (in $N$):

When three forces of $50 \, N$,$30 \, N$,and $15 \, N$ act on a body,then the body is

$A$ block of weight $W$ is suspended by a string and pulled by two horizontal forces $\overline{F}_1$ and $\overline{F}_2$ such that the string makes an angle of $45^{\circ}$ with the vertical. If the tension in the string is $60\,N$, find the magnitude of the horizontal forces $\overline{F}_1$ and $\overline{F}_2$ (assuming they are equal) and the weight $W$ of the block.

In the given arrangement,the normal force applied by the block on the ground is