Question

The resultant force of two concurrent perpendicular forces is $65N$ and one of the component forces is $35N$. Calculate the force of the other component?

• A. $40N$
• B. $45N$
• C. $50N$
• D. $55N$
• E. $60N$

Answer 1

The correct option is D $55N$

Given : $F_R=65N$ $F_1=35N$

As the two forces are perpendicular to each other, thus resultant force, $F_R^2=F_1^2+F_2^2$

$\therefore$ ${65}^2={35}^2+F_2^2$

$F_2^2=3000$

$⟹F_2\approx 55N$