Engineering Board Exam Reviewer · Engineering Mechanics · hard
An L-shaped composite area is made of a horizontal rectangle (8 m wide × 2 m tall) with a vertical rectangle (2 m wide × 8 m tall) sitting on top of it, for a total height of 10 m. Measuring from the bottom, what is the y-coordinate of the centroid of the composite area?
- 5
- 6
- 3.5
- 3.78
Answer
C. 3.5
Solution
A1 = 8 × 2 = 16 m2, y1 = 1 m. A2 = 2 × 8 = 16 m2, y2 = 6 m. y = (A1 · y1 + A2 · y2)/(A1+A2) = 3.5 m.
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