Question

Out of two resolved components of a force, one is 10 N and it makes an angle of ${60}^{\circ }$ with the force. The magnitude of force is:

• A. 7.1 N
• B. 4.33 N
• C. 17.3 N
• D. 20 N

Answer 1

The correct option is B 4.33 N

No right option

Given,

$f_1=10N,Angle={60}^0$

Let us consider one force component is $f_1$ and another one is $f_2$ and the force is f.

then,

$f_1=10N=fcos{60}^0$

$f=5N$ Since $cos{60}^0=\frac{1}{2}$

So,

$f_2=fsin{60}^0$

$=5\times \frac{\sqrt{3}}{2}$

$=4.33$