Write condition of equilibrium when three force act on a particle.
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.
A $1 \mathrm{~kg}$ mass is suspended from the ceiling by a rope of length $4 \mathrm{~m}$. A horizontal force ' $F$ ' is applied at the mid point of the rope so that the rope makes an angle of $45^{\circ}$ with respect to the vertical axis as shown in figure. The magnitude of $F$ is:
Block $A$ of mass $4 \;kg$ is to be kept at rest against a smooth vertical wall by applying a force $F$ as shown in figure. The force required is .......... $N$ $\left(g=10 m / s ^2\right)$