Vector Composition & Decomposition Video Lessons

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Problem: Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the positive x-axis.

FREE Expert Solution

Vector Magnitude:

|A|=Ax2+Ay2

Direction:

tanθ=AyAx

In the y-direction:

Fy = F1cos(30°) - F2 sin(45°)

Fy = (250)cos(30°) - (375)sin(45°) = - 48.66 lb

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Problem Details

Determine the magnitude of the resultant force FR = F1 + F2 and its direction, measured counterclockwise from the positive x-axis.


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Based on our data, we think this problem is relevant for Professor Jerousek's class at UCF.