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CSS Applied Mathematics QUESTION #4154
Question 1
For a uniform lamina in the shape of a triangle with vertices $(0,0)$, $(a,0)$, $(0,b)$, what is the $y$-coordinate of the center of mass?
  • $\frac{b}{2}$
  • $\frac{b}{3}$✔️
  • $\frac{2b}{3}$
  • $\frac{b}{4}$
Correct Answer Explanation
For a triangular lamina, center of mass is at the centroid: $(\frac{a}{3}, \frac{b}{3})$. So $\bar{y} = \frac{b}{3}$.