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Find the rotational inertia of thesystem of point particles shown in the figure assuming the system rotates about the (a) $x$ -axis, (b) $y$ -axis, (c) z-axis. The $z$ -axis is perpendicular to the $x y$ -plane and points out of the page. Point particle $A$ has a mass of $200 \mathrm{g}$ and is located at $(x, y, z)=(-3.0 \mathrm{cm}, 5.0 \mathrm{cm}, 0)$ point particle $B$ has a mass of $300 \mathrm{g}$ and is at $(6.0 \mathrm{cm}, 0$ 0), and point particle $C$ has a mass of $500 \mathrm{g}$ and is at $(-5.0 \mathrm{cm},-4.0 \mathrm{cm}, 0) .$ (d) What are the $x$ - and $y$ -coordinates of the center of mass of the system? (FIGURE CAN'T COPY)

          Find the rotational inertia of thesystem of point particles shown in the figure assuming the system rotates about the (a) $x$ -axis, (b) $y$ -axis, (c) z-axis. The $z$ -axis is perpendicular to the $x y$ -plane and points out of the page. Point particle $A$ has a mass of $200 \mathrm{g}$ and is located at $(x, y, z)=(-3.0 \mathrm{cm}, 5.0 \mathrm{cm}, 0)$ point particle $B$ has a mass of $300 \mathrm{g}$ and is at $(6.0 \mathrm{cm}, 0$ 0), and point particle $C$ has a mass of $500 \mathrm{g}$ and is at $(-5.0 \mathrm{cm},-4.0 \mathrm{cm}, 0) .$ (d) What are the $x$ - and $y$ -coordinates of the center of mass of the system? (FIGURE CAN'T COPY)

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