Answer:
0 degrees
Explanation:
Let [tex]F_1\ and\ F_2[/tex] are two forces. The resultant of two forces acting on the same point is given by :
[tex]F_R=\sqrt{F_1^2+F_2^2+2F_1F_2\ cos\theta}[/tex]
Where [tex]\theta[/tex] is the angle between two forces
When [tex]\theta=0[/tex] i.e. when two forces are parallel to each other,
[tex]F_R=\sqrt{F_1^2+F_2^2+2F_1F_2\ cos(0)}[/tex]
[tex]F_R=\sqrt{F_1^2+F_2^2+2F_1F_2}[/tex]
When [tex]\theta=90^{\circ}[/tex] i.e. when two forces are parallel to each other,
[tex]F_R=\sqrt{F_1^2+F_2^2+F_1F_2\ cos(90)}[/tex]
[tex]F_R=\sqrt{F_1^2+F_2^2}[/tex]
When [tex]\theta=180^{\circ}[/tex] i.e. when two forces are parallel to each other,
[tex]F_R=\sqrt{F_1^2+F_2^2+F_1F_2\ cos(180)}[/tex]
[tex]F_R=\sqrt{F_1^2+F_2^2-2F_1F_2}[/tex]
It is clear that the resultant of two forces acting on the same point simultaneously will be the greatest when the angle between them is 0 degrees. Hence, this is the required solution.
