Juan draws a free-body diagram of an object that is in dynamic equilibrium moving to the left. A free body diagram with 4 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = Y. The second vector is pointing right, labeled F Subscript t Baseline = X. The third vector is pointing upward, labeled F Subscript N Baseline = 45 N. The fourth vector is pointing left, labeled F Subscript f Baseline = negative 30 N. The up and down vectors are the same length. The right and left vectors are the same length. Which labels correctly complete the diagram? X: 45 N Y: –45 N X: –45 N Y: 30 N X: 30 N Y: –45 N X: 30 N Y: –30 N

Juan draws a freebody diagram of an object that is in dynamic equilibrium moving to the left A free body diagram with 4 force vectors The first vector is pointi class=

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Answer:

see below

Explanation:

∑F at x = 0

-30 + Ft = 0

Ft = 30

∑F at y = 0

Fn + Fg = 0

45 - Fg = 0

Fg = - 45

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The labels correctly complete the vector diagram is  X = 30 and Y = -45.

What is vector diagram?

The velocity of such an item in motion could be represented in vector diagrams.

For vector X

It is known that, ∑F = 0 when x will be 0(x=0)

Hence,

[tex]F_{t}+F_{f} =0\\F_{t} +(-30) = 0\\F_{t} = 30[/tex]

For vector Y

And, ∑F = 0 when y will be 0(y=0)

[tex]F_{n}+F_{g} =0\\F_{g} +(-45) = 0\\F_{g} = -45[/tex]

Therefore, the value will be X = 30 and Y = -45.

The correct answer will be option (c).

To know more about vector diagram.

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