Engineering Board Exam Reviewer · Engineering Mechanics · hard
An L-shaped composite area is made of a horizontal rectangle (6 m wide × 1 m tall) with a vertical rectangle (1 m wide × 7 m tall) sitting on top of it, for a total height of 8 m. Measuring from the bottom, what is the y-coordinate of the centroid of the composite area?
- 2.65
- 2.5
- 4
- 4.5
Answer
A. 2.65
Solution
A1 = 6 × 1 = 6 m2, y1 = 0.5 m. A2 = 1 × 7 = 7 m2, y2 = 4.5 m. y = (A1 · y1 + A2 · y2)/(A1+A2) = 2.65 m.
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