Question

Please help me answer this question, I have no clue on how to solve it?

Answer 1

(a)`((3),(-4))`

(b)`" "vecF_n=((-3),(4))`

Explanation:

we will start by writing each force as a column vector

measuring from P

`vecF_1=((3),(-1))`

`vecF_2=((2),(2))`

`vecF_3=((-2),(-1))`

`vecF_4=((0),(-4))`

the resultant is teh sum of these vectors

`sumvecF_i=vecF_1+vecF_2+vecF_3+vecF_4`

`sumvecF_i=((3),(-1))+((2),(2))+((-2),(-1))+((0),(-4))`

`=((3),(-4))`

for equilibrium `sumvecF_i=vec0`

`((3),(-4))+vecF_n=vec0`

`:.vecF_n=((-3),(4))`