Two forces equal in magnitude act …
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Two forces equal in magnitude act on a particle. When square of their resultant is equal to three time their product find angle between them?
Posted by Falak Chauhan 3 years, 1 month ago
- 2 answers
Anjan Karthi 3 years, 1 month ago
If the forces are F1 = F2, then R^2 = 3 F1F2 = 3 F1^2. Therefore, F1^2 + F2^2 + 2F1F2cos θ = 3F1^2. Or, 2F1^2 + 2F1^2 cos θ = 3F1^2. 2F1^2 (1 + cos θ) = 3F1^2. cos θ = 3/2 -1 = 1/2. Therefore, angle = cos^-1 (1/2) = 60//
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Anjan Karthi 3 years, 1 month ago
0Thank You