Question

Two forces $\overrightarrow{F_1}and{\overrightarrow{F}}_{2}of$ magnitude 5 N each inclined to each other at ${60}^0$, act on a body. Find the resultant force acting on the body.

Answer 1

Two force $F_1$ and $F_2$ = 5N

INCLINATION = $\theta$ = 60

Resultant force vector = ?

Resultant vector $|\overrightarrow{F}|=|{\overrightarrow{F}}_1|+|{\overrightarrow{F}}_2|$

= $\sqrt{(}{F}_1^2+F_2^2+2F_1{F}_{2}cos\theta )$

= $\sqrt{(}{5}^2+5^2+2^{\ast }{5}^{\ast }{5}^{\ast }coos60)$

= $\sqrt{(}25+25+2^{\ast }{5}^{\ast }{5}^{\ast }0.5)$

= $\sqrt{(}25+25+25)$

= $\sqrt{7}5$

= 8.66 N

Resultant force acting on the body is 8.66 N