Question

If the resultant of two forces p and q acting at angle theta makes angle alpha with the force p then

Answer 1

Answer:

This is very simple . Just use parallelogram law to calculate the resultant magnitude as well as direction.

magnitude will be

R= sqrt (p^2 + Q^2 + 2*P*Q*cos (alpha) )

and its direction will be at an angle of

Tan( beta) = (P Sin (alpha))/(Q+ P* Cos (beta))

beta will be angle between Q and the resultant.

Answer 2

Given that,

The resultant of two forces p and q acting at angle α.

Suppose we need to find the angle between q and resultant

The magnitude of resultant is

$R=\sqrt{p^+q^2+2pq\cos\alpha}$

We need to calculate the direction at an angle

Using formula of direction

$\tan\beta=\dfrac{y}{x}$

$\tan\beta=\dfrac{p\sin\alpha}{q+p\cos\beta}$

Hence, $\beta$ will be angle between q and resultant.