Question

The resultant of two forces F1 and F2 when inclined at angle θ is (2n+1)√1 2 + 2 2 and when inclined at an angle (90- θ) is (2n-1)√1 2 + 2 2. Show that tan = −1 +1 . [5]

Answer 1

Explanation:

ANSWER

Given that,

Two forces F

1

and F

2

=5N

Angle θ=60

0

We know that, the resultant force is

∣F∣=∣F

1

∣+∣F

2

∣

∣F∣=

F

1

2

+F

2

2

+2F

1

F

2

cosθ

∣F∣=

(5)

2

+(5)

2

+2×5×5×

2

1

∣F∣=

75

∣F∣=8.66N

Hence, the resultant force acting on the body is 8.66 N