Question

Two forces each of 4 N acts on a body at angle of 60° find magnitude and direction of resultant force acting on a body​

Answer 1

$\boxed{\bf{\blue{\longrightarrow Answer:}}}$

• fcostheta = 2
• fsintheta = 2√3
• As fsintheta is more the force is in direction of fsinththeta

Answer 2

Given:

Magnitude of forces = 4 N

Angle between the forces = 60°

To find:

The manitude and the direction of resultant force acting in the body

Calculation:

Resultant between two forces of magnitude F₁ and F₂ acting at an angle θ is given by the formula

 F = √F₁²+F₂²+2F₁F₂Cosθ

By substituting the given values in the formula

=>  F = √4²+4²+2(4)(4)cos(60)°

=>  F = √32+32(1/2)

=>  F = √48 N

=>  F = 6.92 N

As the magnitude of both the forces is equal, the resultant will make an angle of 30° with each force acting on the body

The magnitude of resultant force is 6.92 N and will act at an angle of 30°