Question

Two 20 Newton forces act concurrently on an object what angle between these forces produce a resultant force with the greatest magnitude

Answer 1

0 degrees

Step-by-step explanation:

The angle between both currents would be 0

Answer 2

Let θ₁ and θ₂ be the angles between the two forces and the direction of motion.

To produce motion in the indicated direction, the net force is
F = 20 cos θ₁ + 20 cos θ₂
= 20 (cos θ₁ + cos θ₂)
= 40 cos [(θ₁+θ₂)/2] cos[(θ₁-θ₂)/2]

The maximum value of the cosine function is 1, and it occurs when its argument is zero.
Therefore the maximum value of F occurs when
θ₁ + θ₂ = 0
or
θ₁ - θ₂ = 0

Add the two equations to obtain
2 θ₁ = 0 => θ₁ = 0
Also, θ₂ = θ₁ = 0

Answer: The angle between the two forces is zero.