Question

The greatest and least resultant of two forces acting at a point are 16N and 6N respectively find the two forces if these forces are at right angles then find the magnitude of the resultant

Answer 1

Explanation:

Let the two force be F1 and F2

when these two forces will act along same line in same direction then their resultant will be maximum

→ F1 + F2 = 16 ..........eq ( 1 )

When these to forces will act along same line and in opposite direction then their resultant will be minimum

→ F1 - F2 = 6 ............eq ( 2 )

Adding equations 1 and 2

→ 2 F1 = 22

→ F1 = 11 N

→ F2 = 5 N

Now , as the forces are acting at right angle to each other , their magnitude of resultant will be :

→ $\sqrt{{F_{1}}^{2} + {F_{2}}^{2}}$

$\sqrt{5 {}^{2} \: + \: 11 {}^{2} }$

→ √(146) N