Four forces are acting at a point $P$ in equilibrium as shown in figure. The ratio of force $F_{1}$ to $F_{2}$ is $1: x$ where $x =....$
$2$
$1$
$4$
$3$
If two forces of $5 \,N$ each are acting along $X$ and $Y$ axes, then the magnitude and direction of resultant is
A motorboat is racing towards north at $25\; km / h$ and the water current in that region is $10\; km / h$ in the direction of $60^{\circ}$ east of south. Find the resultant velocity of the boat.
A particle starting from the origin $(0,0)$ moves in a straight line in the $(x, y)$ plane. Its coordinates at a later time are $(\sqrt 3,3)$ . The path of the particle makes with the $x -$ axis an angle of ....... $^o$
The magnitude of pairs of displacement vectors are given. Which pair of displacement vectors cannot be added to give a resultant vector of magnitude $13\, cm$?
$ABCDEF$ is a regular hexagon and forces represented in magnitude and direction by $AB, AC,AD, AE$ and $AF$ act at $A$. Their resultant is :