Two forces $P + Q$ and $P -Q$ make angle $2 \alpha$ with each other and their resultant make $\theta$ angle with bisector of angle between them. Then :
$P\, tan\, \theta = Q\, tan \, \alpha$
$P\, sin\, \theta = Q\, sin\, \alpha$
$P\, cos\, \alpha = Q\, sin\, \theta$
$P\, sin\, \alpha = Q\, sin\, \theta$
Three forces acting on a body are shown in the figure. To have the resultant force only along the $y-$ direction, the magnitude of the minimum additional force needed is ........... $N$
Two vectors $\overrightarrow a $ and $\overrightarrow b $ are at an angle of $60^o$ with each other. Their resultant makes an angle of $45^o$ with $\overrightarrow a $ . If $|\overrightarrow b | = 2\,units$ then $|\overrightarrow a |$ is:-
Explain resolution of vectors.
$ABCDEF$ is a regular hexagon and forces represented in magnitude and direction by $AB, AC,AD, AE$ and $AF$ act at $A$. Their resultant is :
A person pushes a box kept on a horizontal surface with force of $100\,N$ . In unit vector notation force $\vec F$ can be expressed as ?