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

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

Grade:9

1 Answers

Arun
25750 Points
5 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

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