A block of $\sqrt{3}\,kg$ is attached to a string whose other end is attached to the wall. An unknown force $F$ is applied so that the string makes an angle of $30^{\circ}$ with the wall. The tension $T$ is $...........\,N$ :(Given $g =10\,ms ^{-2}$ )

A body of mass $5\,kg$ is suspended by a spring balance on an inclined plane as shown in figure. (in $N$)

See Figure given below.  A mass of $6 \;kg$ is suspended by a rope of length $2 \;m$ from the ceiling. A force of $50\; N$ in the horizontal direction is applied at the midpoint $P$ of the rope, as shown. What is the angle the rope makes with the vertical in equilibrium ? (Take $g = 10 \;m s^{-2}$). Neglect the mass of the rope.

A rod of length $L$ and mass $M$ is acted on by two unequal forces $F_1$ and $F_2 (< F_1 )$ as shown in the following figure.The tension in the rod at a distance $y$ from the end $A$ is given by

$A$ flexible chain of weight $W$ hangs between two fixed points $A$ & $B$ which are at he same horizontal level. The inclination of the chain with the horizontal at both the points of support is $\theta$ . What is the tension of the chain at the mid point? 

Ten one-rupee coins are put on top of each other on a table. Each coin has a mass $m$ Give the magnitude and direction of

$(a)$ the force on the $7^{\text {th }}$ coin (counted from the bottom) due to all the coins on its top.

$(b)$ the force on the $7^{\text {th }}$ coin by the elghth coin,

$(c)$ the reaction of the $6^{\text {th }}$ coin on the $7^{\text {th }}$ coin.