The magnitude of two forces is such that when acting at right angels produce a resultant force of√ 20 and when acting at 60°produce a resultant equal to √28 find out the magnetude of two forces?
Sona , 3 Years ago
Grade 12th pass
1 Answers
Sudhin Varghese
Last Activity: 3 Years ago
R1 = √10 kg, θ1 = 90°, R2 = √13 kg, θ2 = 60°
Let two forces are a1 and b2 (a12)
According to the problem:
CASE 1
√R1 = √a2 + b2
20 = a2 + b2 …......... (1)
CASE 2
√R2 = √a2 + b2
28 = a2 + b2+ 2 ab cos 60 ….................. (2)
Now,
a2 + b2 = 20 from (1)
ab = 28 -20 = 8
So one is 2N and the other is 4 N
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