Question

Two forces 4 newton and F Act at 120 degrees with each other if their resultant is at right angles to 4 Newtons find the value of a F

Answer 1

Answer:

F = 8

Explanation:

Two forces 4 newton and F Act at 120 degrees with each other if their resultant is at right angles to 4 Newtons find the value of a F

Resultant force is ⊥ to 4N

& F is 120 °  to  4N

if We Break F in ⊥ to 4N  & in direction of 4N

⊥ to 4N  = FSin120 = F Sin60 = F√3/2

in direction of 4N = FCos120 = -FCos60 = -F/2

-F/2 Should Cancel out 4 Newton

so that Resultant is only F√3/2

=> 4 - F/2 = 0

=> F = 8