Point particle A has a mass of 160 g and is located at (x, y, z) = (-1.5 cm, 5.0

Question

Point particle A has a mass of 160 g and is located at (x, y, z) = (-1.5 cm, 5.0 cm, 0), point particle B has a mass of 280 g and is at (7.0 cm, 0, 0), and point particle C has a mass of 410 g and is at (-5.0 cm, -3.0 cm, 0). Find the rotational inertia of the system of point particles shown in the figure assuming the system rotates about the following axes. (a) x-axis ____g cm2 (b) y-axis ____g cm2 (c) z-axis (The z-axis is perpendicular to the xy-plane and points out of the page.) ____g cm2 (d) What are the x and y-coordinates of the center of mass of the system? xCM = ___ cm yCM = ___ cm

Explanation / Answer

X com= 160X-1.5 + 280X 7 + 410X-5 / 850 = 0.388 Ycom = 160X 5 + 280 X 0 + 410X -3 /850 = -0.505 Zcom= 160X 0 + 280X 0+ 410 X 0 /850 = 0

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