Question

a) 12N b) 22N c) 32N d) 22n

Answer 1

Answer:

Hey! Idk why, none of the answers is in the option.

Here, let me tell you the solution.

Resolve the component 1N into 1cos45° on on +y-axis and 1sin45° on +x-axis.

Similarly 2N can be broken into 2cos45° on +y-axis and 2sin45° on -x-axis.

You will note, the horizontal forces balance each other.

2sin45° = 1sin45° + $1/\sqrt{2}$

$2/\sqrt{2}$ = $1/\sqrt{2}$ +$1/\sqrt{2}$

LHS= RHS

Now, for vertical forces,

1cos45° + 2cos45° = F

F = $1/\sqrt{2}$ + $2/\sqrt{2}$

F = 2.12N