The value of the resultant force and its direction is Fr = 8.03 kN; Ф = 1.22°
What are forces?
Forces are the definition of Newton's second law, which is stated under the relation:
∑ Force = mass × acceleration.
In other words, force is the origin of motion since it generates acceleration in a system.
We will use the parallelogram method to determine the magnitude of the resultant force, as follows:
Fr = √F2² + F1² - 2(F2×F1)Cos105°
Fr = √6² + 4² - 2(6×4)Cos105°
Fr = 8.03 kN
We apply the law of sines
Sen∅/6 = Sen105°/8.026
∅ = 46.22°
The Ф direction of Fr measured clockwise from the positive u-axis is
Ф = 46.22° - 45°
Ф = 1.22°
Learn more about Forces in:
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