Question

The resultant of two forces of $3$ kg-wt and $4$ kg-wt which are inclined at ${30}^o$ angles to each other is

• A. $\sqrt{25+6\sqrt{3}}$
• B. $\sqrt{25+12\sqrt{3}}$
• C. $\sqrt{37}$
• D. $\sqrt{13}$

Answer 1

The correct option is B $\sqrt{25+12\sqrt{3}}$

Given, two forces $3$ kg-wt and $4$ kg-wt

Therefore, required resultant
$=\sqrt{3^2+4^2+2\times 3\times 4\cos {30}^o}$

$=\sqrt{25+12\sqrt{3}}$