Question icon
Grade 9General Physics

Find the angle between two Forces of equal magnitude of their resultant is also equal to the magnitude of either of these forces??

Profile image of Asma
7 Years agoGrade 9
Answers icon

1 Answer

Profile image of Arun
7 Years ago
Let R , Q are two vector which magnitude is equal also resultant of it also equal to either 
e.g | R | = | Q | 
and resultant = R + Q 
magnitude of resulatant = | R | = | Q| 
so, | R | = | R + Q | 
| R | = √( | R|² + | Q|² +2|R | |Q| cos∅)
take square of both sides 
R² = R² + Q² + 2|R| |Q| cos∅
put | R| =|Q| 
R² = R² + R² +2R² cos∅ 
cos∅ = -1/2 
∅ = 2π/3