Blake can determine the center mass by dividing the product of less dense and its position by the sum of the two end densities.
The center mass of an object is the point on the object where the weighted relative position of the distributed mass sums to zero.
Blake can determine the location of the center mass as follows;
[tex]C_{xm }= \frac{\rho_1 (0) + \rho(x)}{\rho_1 + \rho_2} \\\\C_{xm }= \frac{\rho(x)}{\rho_1 + \rho_2}[/tex]
Thus, Blake can determine the center mass by dividing the product of less dense and its position by the sum of the two end densities.
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