Question

1. (a) The resultant of two forces P and Q acting at a point is equal to
V3 Q and makes an angle of 30° with the direction of P. Show
that P = Q or P = 20.
2​

Answer 1

Answer:

Here is your answer...

Step-by-step explanation:

R^2 = P^2 + Q^2 + 2PQ cos θ where θ is the angle between P & Q.

3 Q^2 = P^2 + Q^2 + 2PQ cos θ

2 Q^2 = P^2 + 2PQ cos θ ——————-1

Angle between R and P is π/6

sin π/6 = (1/2) = Q sin θ / R = Q sin θ /( Q √3)

sin θ = √3 /2 => cos θ = (1/2)

From 1

2 Q^2 = P^2 + PQ

P^2 + PQ - 2 Q^2= 0

P = Q and P =- 2 Q

Hope it helps you and pls mark me as the brainliest