Question

The rectangular components of a force are applied to move a body. One of the components is $30N$. What should be the other component to obtain a resultant force of $50N$?

• A. $30N$
• B. $40N$
• C. $50N$
• D. $90N$

Answer 1

The correct option is B $40N$

Let other component is $a$.

From the figure, Using Pythagoras Theorem,

$R^2=a^2+{30}^2$ $\Rightarrow {50}^2=a^2+{30}^2$,

$\Rightarrow a=\sqrt{{50}^2-{30}^2}=40N$