Question

The greatest and least resultant of 2 forces are 10N and 6N. If each force is increased by 3N, find resultant of new force when they are acting at 90°.

Answer 1

Please refer the above photograph for the used process.

KEY POINTS TO REMEMBER :-

1) The resultant of any two vector is given by :-

$\boxed{R^2=A^2+B^2+2ABcos\theta}$

And ,

The direction of the resultant is given by :-

$\boxed{tan\alpha=\dfrac{Bsin\theta}{A+Bcos\theta}}\\ \\ \\ \alpha=tan^{-1}(\dfrac{Bsin\theta}{A+Bcos\theta})$

2)The maximum and minimum value of cos function lies between (-1) and (+1)

3)The maximum resultant occurs when the two vectors are acting in same direction that is they are parallel vectors.

4)The minimum resultant occurs when the two vectors are in opposite direction that is they are anti-parallel vectors.

Answer 2

Hey there

refer to attachment