Question

In the drawing, what is the vector sum of forces A→+B→+C→ if each grid square is 7.00 N on a side? If the resultant is eastward, enter a positive value and if the resultant is westward, enter a negative value.

Answer 1

Answer:

resultant force = 14 N  ( East direction)

Explanation:

A = $\sqrt{(4*7)^2 + (4*7)^2}$

A = 39.6 N

B = 4 * 7

B = 28 N

C = 2 * 7

C = 14 N

∑ y forces = Ay - B = (4*7) - 28 = 0

∑ x forces = Ax - C = (4*7) - 14 = 14 N

so the resultant force = 14 N  ( East direction)

Answer 2

Answer:

resultant = 14 N to the right

Explanation:

A→+B→+C→

adding all forces acting on x

and

adding all forces acting on y

A = sqrt(4*7)^2 + (4*7)^2 = 39.6

B = 4 * 7 = 28

C = 2 * 7 = 14

forces acting on x = (4*7) - 28 = 0

forces acting on y = (4*7) - 14 = 14 N

so the resultant = 14 N to the right