two forces each of magnitude F have a resultant of same magnitude F. what is the angle between two forces . explain with solution
Answer (1)
27th Aug, 2020
Hello Aspirant,
As we know that Force is the vector quantity and hence it's resultant would be given as per the formula mentioned below :-
R = √{A² + B² + 2A.Bcos}
Here is angle between two forces which we need to find out, so using the formula we will solve the question.
According to the question both the forces have magnitude F and resultant F, so
F = √{F² + F² + 2.F.Fcos}
⇒F² = F² + F² + 2F².cos
⇒- F² = 2F²cos
⇒ -1/2 = cos
⇒cos = -1/2 = cos120°
⇒ = 120°
Which means that if both the forces have same magnitude and same resultant then angle between them will be 120°.
I hope this information helps you.
Good Luck!!
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