Engineering Board Exam Reviewer · Engineering Mechanics · hard
An L-shaped composite area is made of a horizontal rectangle (7 m wide × 1.5 m tall) with a vertical rectangle (1.5 m wide × 7.5 m tall) sitting on top of it, for a total height of 9 m. Measuring from the bottom, what is the y-coordinate of the centroid of the composite area?
- 3
- 4.5
- 5.25
- 3.08
Answer
D. 3.08
Solution
A1 = 7 × 1.5 = 10.5 m2, y1 = 0.75 m. A2 = 1.5 × 7.5 = 11.25 m2, y2 = 5.25 m. y = (A1 · y1 + A2 · y2)/(A1+A2) = 3.08 m.
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