The center of mass of a thin rectangular plate (fig - x) with sides of length a and b, whose mass per unit are…

Question

The center of mass of a thin rectangular plate (fig - x) with sides of length $$a$$ and $$b$$, whose mass per unit area ($$\sigma$$) varies as $$\sigma = \sigma_0 \frac{x}{ab}$$ (where $$\sigma_0$$ is a constant), would be

Accepted Answer

D. $$\left(\frac{2}{3} a, \frac{1}{2} b\right)$$

Answer

A. $$\left(\frac{2}{3} a, \frac{2}{3} b\right)$$

Answer

B. $$\left(\frac{1}{3} a, \frac{1}{2} b\right)$$

Answer

C. $$\left(\frac{1}{2} a, \frac{1}{2} b\right)$$

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