$A$ mass $m$ is suspended by two strings $T_1$ and $T_2$ as shown in the figure. Calculate the tensions $T_1$ and $T_2$.

Find the magnitude of the unknown forces $x$ and $y$ if the sum of all forces is zero.

Statement-$I$: If three forces $\vec{F}_{1}, \vec{F}_{2}$ and $\vec{F}_{3}$ are represented by three sides of a triangle and $\vec{F}_{1} + \vec{F}_{2} = -\vec{F}_{3}$,then these three forces are concurrent forces and satisfy the condition for equilibrium.
Statement-$II$: $A$ triangle made up of three forces $\vec{F}_{1}, \vec{F}_{2}$ and $\vec{F}_{3}$ as its sides taken in the same order,satisfy the condition for translatory equilibrium.
In the light of the above statements,choose the most appropriate answer from the options given below:

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

$A$ body is at rest under the action of three forces,two of which are $\vec F_1 = 4\hat i$ and $\vec F_2 = 6\hat j$. The third force is:

When an object is at rest,