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Grade 9General Physics

One of the two forces is double the other and their resultant is equal to the greater force The angle between them is???

Profile image of Asma
7 Years agoGrade 9
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1 Answer

Profile image of Arun
7 Years ago
Dear student
 
Given:
Let F1=F
F2=2F
Resultant force= Fnet= 2F
By parallelogram of vector addition ,
F net =√F₁²+F₂²+2F₁F₂CosΘ
2F=√F²+ 2F²+2x Fx(2F)CosΘ
4F²=5F²+4F²CosΘ
4CosΘ=-1
CosΘ=-1/4
Θ=Cos⁻¹(-1/4)
Θ=180⁰ - Cos⁻¹(1/4)
Θ=104.375