Question

Two forces whose resultant is 100newton are perpendicular to each other. If one of them makes an angle of 60newton with the resultant. Calculate it magnitude

Answer 1

Answer:

100 N

Explanation:

Given that,

Two forces whose resultant is 100newton are perpendicular to each other.

If one of them makes an angle of 60newton with the resultant.

$F_1=100\times \sin60=86.60\ N$

and

$F_2=100\times \cos60=50\ N$

The magnitude of force,

$F=\sqrt{F_1^2+F_2^2} \\\\F=\sqrt{86.6^2+50^2} \\\\F=99.99\ N$

or

F = 100 N

So, the magnitude of force is 100 N.