Question

The resultant of two equal forces is 141.4N when they are mutually perpendicular. When they are inclined at an angle 120 degree then the resultant force will be?

Answer 1

Hope this helps you...

MARK AS BRAINLIEST IF I DESERVE

Answer 2

Given:

• Resultant of two equal perpendicular forces is 141.4 N

To find:

Resultant when the forces are 120° to one another?

Calculation:

Let the force be f :

Now, at 90° orientation, resultant is :

$\sqrt{ {f}^{2} + {f}^{2} + 2.f.f \cos( {90}^{ \circ} ) } = 141.4$

$\implies \sqrt{ {f}^{2} + {f}^{2} } = 141.4$

$\implies \sqrt{2 {f}^{2} } = 141.4$

$\implies f \sqrt{2} = 141.4$

$\implies f = 100 \: N$

Now, at 120° to one another, resultant will be:

$r = \sqrt{ {f}^{2} + {f}^{2} + 2.f.f. \cos( {120}^{ \circ} ) }$

$\implies r = \sqrt{ {f}^{2} + {f}^{2} + 2{f}^{2} ( - 0.5) }$

$\implies r = \sqrt{ {f}^{2} + {f}^{2} - {f}^{2} }$

$\implies r = \sqrt{ {f}^{2} }$

$\implies r = f$

$\implies r = 100 \: N$

So, resultant is 100 N

#SPJ3