Solution: Variable-density plates Find the center of mass of

Chapter 14, Problem 24E

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QUESTION:

Variable-density plates Find the coordinates of the center of mass of the following plane regions with variable density. Describe the distribution of tnass in the region.

The upper half \((y \geq 0)\) of the disk bounded by the circle \(x^{2}+y^{2}=4 \text { with } \rho(x, y)=1+y / 2\)

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QUESTION:

Variable-density plates Find the coordinates of the center of mass of the following plane regions with variable density. Describe the distribution of tnass in the region.

The upper half \((y \geq 0)\) of the disk bounded by the circle \(x^{2}+y^{2}=4 \text { with } \rho(x, y)=1+y / 2\)

ANSWER:

Solution 24E

The center of mass is located approximately at (

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