Vectors![]() Parallelogram of vectors - relative velocity
What is the angle between the resultant and the first force?
a2 = b2 + c2 − 2bc cos α R2 = 802 + 402 - 2 x 40 x 80 x cos (180 - 120)o R2 = 6400 + 1600 - 6400 x cos 60o R2 = 8000 - 6400 x 0.5 R2 = 8000 - 3200 = 4800 Resultant force R = 69 N
Using the sine rule we have: sin γ/40 = sin 60o/69 sin γ = sin 60o x 40/69 sin γ = 0.866 x 0.580 = 0.50 γ = 30o
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