Question

One of the rectangular components of a force of 65N is 60N,find the other components

Answer 1

Answer:

• Other component would be 25 N.

Explanation:

Given that,

One of rectangular component of Force 65 N is 60 N.

We need to find,

Other component

So,

Let, F = 65 N be the magnitude of resultant of two rectangular components F₁ = 60 N and F₂ (we need to find) ; since F₁ and F₂ are two rectangular components therefore angle between them will be θ = 90°

Now,

Using formula for magnitude of resultant of two vectors

→ R² = A² + B² + 2 A B cos θ

[ Where R is magnitude of resultant of two vectors with magnitudes A and B, where angle between vector A and B is θ ]

→ F² = F₁² + F₂² + 2 F₁ F₂ cos θ

→ ( 65 )² = ( 60 )² + F₂² + 2 ( 60 ) F₂ cos 90°

(putting value of cos 90°)

→ 4225 = 3600 + F₂² + 2 ( 60 ) F₂ ( 0 )

→ 4225 - 3600 = F₂² + 0

→ F₂² = 625

→ F₂ = √625

→ F₂ = 25 N

Therefore,

• Other component would be 25 Newtons.