Question

two forces of 200 Newton and 150 Newton are acting at an angle of 45 degree to each other from a point then the resultant force will be

Answer 1

Heres your answer.

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Answer 2

Explanation:

Resultant of a force is given by the formula R^2=(F1)^2+(F2)^2+2(F1)(F2)cosA

R is the resultant force

F1 is the force 1 =100N

F2 is the force 2 =150N

A is the angle between the two forces =45degree

Substitute the values in the equation to get the resultant force R.

A = 100 N

B = 150 N

Angle between A & B, θ = 45°

Resultant Force, |C| = √[|A|^2 +|B|^2 + 2|A||B|cosθ]

=> |C| = 231.73 N at an angle of ϕ = 27.23° from the direction of 100 N force.

tan ϕ = bsinθ/(a + bcosθ)