Questions: Determine the magnitude of the projected component of the force F along the cable AC Express your answer to three significant figures and include the appropriate units. FAC= Value Units

Determine the magnitude of the projected component of the force F along the cable AC
Express your answer to three significant figures and include the appropriate units.
FAC=
Value
Units

Transcript text: Determine the magnitude of the projected component of the force $\mathbf{F}$ along the cable $A C$ Express your answer to three significant figures and include the appropriate units. $\left|F_{A C}\right|=$ $\square$ Value Units

Solution

Solution Steps

Step 1: Determine the coordinates of points A and C

Point A: (0, 0, 0)
Point C: (3, 1.5, 0.75)

Step 2: Calculate the vector AC

Vector AC = C - A = (3 - 0, 1.5 - 0, 0.75 - 0) = (3, 1.5, 0.75)

Step 3: Calculate the magnitude of vector AC

Magnitude of AC = √(3^2 + 1.5^2 + 0.75^2) = √(9 + 2.25 + 0.5625) = √11.8125 ≈ 3.436

Final Answer

Magnitude of AC ≈ 3.44 m

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