Question

i am challenging others that no one can ans this if anybody answer this i will mark as brainlist​

Answer 1

Answer:

60°

Explanation:

Given,

Forces are (P + Q) and (P - Q)

Resultant R = √3P² + Q²

We know that,

Resultant for A,B : R = √A² + B² + 2ABCosx

Here,

A = (P + Q), B = (P - Q)

Now,

R = √(P + Q)² + (P - Q)² + 2(P + Q)(P - Q)Cosx

⇒  √3P² + Q² = √P² + Q² + 2PQ + P² + Q² - 2PQ + 2(P + Q)(P - Q)Cosx

⇒ 3P² + Q² = 2P² + 2Q² + 2(P + Q)(P - Q)Cosx

⇒ P² - Q² = 2(P² - Q²)Cosx

⇒ Cosx = 1/2

⇒ x = 60°

Hope it helps!