Question

if the resultant of the two forces 3N and 4N acting at a point is 5N, then the angle between two forces will be
​

Answer 1

Solution :-

As we know that ,

♦ R = √ A² + B² + 2AB cosθ

Simplifying ,

♦ R² = A² + B² + 2AB cosθ

Where,

• R is the resultant force = 5N
• A & B are the forces acted [ A = 3N & B = 4N ]
• θ is the angle between the forces

Substituting the known values we have ,

➵ 5² = 3² + 4² + 2 × ( 3 ) × ( 4 ) × cosθ

➵ 25 = 9 + 16 + 24cosθ

➵ 25 = 25 + 24 cosθ

➵ 25 - 25 = 24 cosθ

➵ 0 = 24 cosθ

➵ 0/24 = cosθ

➵ 0 = cosθ

Substituting , 0 = cos90°

➵ cos90° = cosθ

By comparision ,

➵ θ = 90° = Angle between the forces

Hence , angle between the forces = 90°

Answer 2

Answer:

$\bf \underline\color{black}{your \: answer}$

$\bf \blue{in \: the \: attachment}$