Question

2 forces 20n and 5n are acting at an angle of 120° berween them.find the resultant force in magnitude and diection

Answer 1

F1 = 20n

F2 = 5n

Theta = 120

$fnet = \sqrt{f1 {}^{2} + f {}^{2} + 2f1f2cos \: theta }$

$= \sqrt{(20) {}^{2} + (5) {}^{2} + 2(5)(20)cos120}$

$= \sqrt{400 + 25 + 200( - 1 \div 2)}$

$= \sqrt{325} \: n$


THANKS