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What is the magnitude of the x-component of force F->?

23 N

19 N

11 N

32 N

28 N

What is the magnitude of the x-component of force F->? 23 N 19 N 11 N 32 N 28 N-example-1

1 Answer

4 votes

Answer

option B)

19N

Step-by-step explanation

If the object is at equilibrium, then the net force acting upon the object should be 0 N. Thus, if all the forces are added together, horizontal and vertical forces separately, then the resultant force (the vector sum) should be 0 Newton.

As we only need to find the magnitude of x-component of force F (which i assume is the 4th force which makes it equilibrium)

so find all x component/horizontal forces acting on the object.

50cos(40) - 40cos(25) + 30cos(55) + x = 0

38.30 - 36.25 + 17.21 + x + = 0

19.26 + x = 0

x = - 19.26

x ≈ 19 (magnitude only)

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