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A box weighing 200N rests on an inclined surface. A worker applies a horizontal

ID: 1860874 • Letter: A

Question

A box weighing 200N rests on an inclined surface. A worker applies a horizontal force F to help position the box. Determine the x and y components of the resultant of forces W and F. Also determine the t and n components of the resultant force vector. comment on t and n components might be useful to know.



I know the answer to this problem, but if someone could give me an explanation on when we use which formulas, such as when to use (-i) and (-j) vs (i) and (j), that would be awesome. Thanks!

A box weighing 200N rests on an inclined surface. A worker applies a horizontal force F to help position the box. Determine the x and y components of the resultant of forces W and F. Also determine the t and n components of the resultant force vector. comment on t and n components might be useful to know. I know the answer to this problem, but if someone could give me an explanation on when we use which formulas, such as when to use (-i) and (-j) vs (i) and (j), that would be awesome. Thanks!

Explanation / Answer

Ft = 100cos30 = 86.6N

Fn = -100sin30 = -50N

Wt = - 200sin30 = -100N

Wn = -200cos30 = -173.2N

Net,

t = 86.6 - 100 = -13.4N

n = -50 - 173.2 = -223.2N

in x-y coordinets

F = 100i

W = -200j

resultant = 100i - 200j